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# Category Archives: Limits

## Limits problems for Precalculus

**Find Limit using Table of Values problem example **

The following video provides two examples with tables containing ** x**-values and their respective function values. Use this information to find the required limits.

Solution to this **Precalculus Limit** practice problem is provided in the video below!

**Find Limit using Graph example question**

The following video provides a complete** xy**-plane Graph showing the behavior of a given function. Use this information to find the limits.

Solution to this **Precalculus Limit** problem is provided in the video below!

**Find Limit using Calculator example**

Use a calculator to help you find the indicated limits for the given functions:

**(a)**

**(b) **

Solution to this **Precalculus Limit** problem is provided in the video below!

**Find Limit using Piecewise Functions example problems**

Use the following piecewise functions to find the required limits:

**(a)**

**(b) **

Solution to these **Precalculus Limit** problems is provided in the video below!

**Example problem on why some Limits may NOT exist**

Investigate the following function and determine why the given Limit does not exist:

Solution to this **Precalculus Limit** problem is provided in the video below!

**Find Limit by Rationalizing the Square Root example question**

Find the indicated Limit of the given Function:

Solution to this **Precalculus Limit** problem is provided in the video below!

## Limit Definition of a Derivative problems

**Limit Definition of a Derivative example problem**

Find the derivative of the function

by using **Formal Limit Definition of a Derivative**.

Solution to this Calculus **Limit Definition of Derivative Differentiation** practice problem is given in the video below!

**Equation of the Tangent Line using Limit Definition of a Derivative example question**

Find the Equation of the Tangent Line to the graph of

at the point **(5, 1) **by using the Limit Definition of a Derivative.

Solution to this Calculus **Limit Definition of Derivative Differentiation** practice problem is given in the video below!

## Limits problems (complete Playlist)

Find comprehensive **Limit** examples and practice problems for your Calculus or Precalculus courses.

## Hospital’s Rule Limit problems

## Limits with L’Hopital’s Rule example question

Find the indicated limits:

Solution to these L’Hopital’s Rule **Calculus Limit** practice problems is given in the video below!

TRY IT YOURSELF problems in this topic

## Limits with L’Hopital’s Rule example problem

Find the indicated limits below:

Solution to these L’Hospital’s Rule **Calculus Limit** practice problems is given in the video below!

TRY IT YOURSELF problems in this topic

## Limits with L’Hopital’s Rule example

Find the provided limits below:

Solution to these Hopital’s Rule **Calculus Limit** practice problems is given in the video below!

TRY IT YOURSELF problems in this topic

## Limits with L’Hopital’s Rule example question #4

Find the indicated limits provided below:

Solution to these Hospital’s Rule **Calculus Limit** practice problems is given in the video below!

TRY IT YOURSELF problems in this topic

## Limits with L’Hopital’s Rule example problem #5

Find the indicated limits given below:

Solution to these Hopital Rule **Calculus Limit** practice problems is given in the video below!

TRY IT YOURSELF problems in this topic

## Limits with L’Hopital’s Rule example #6

Find the indicated limits below:

Solution to these Hospital Rule **Calculus Limit** practice problems is given in the video below!

TRY IT YOURSELF problems in this topic

## Limits with L’Hopital’s Rule example question #7

Find the given limit:

Solution to this L’Hopital’s Rule **Calculus Limit** practice problem is given in the video below!

TRY IT YOURSELF problems in this topic

## Limits with L’Hopital’s Rule HARD example problem

Find the indicated limit:

Solution to this L’Hospital’s Rule **Calculus Limit** practice problem is given in the video below!

## TRY IT YOURSELF example questions

Find the indicated limits by using L’Hopital’s Rule:

a)

b)

c)

d)

e)

## Limits at Infinity problems

**Limits at Infinity example question**

Find the given limit:

Solution to this Calculus **Limits** practice problem is given in the video below!

## Limit Approaching a Constant problems

## Limit example question

Find the indicated limits:

Solution to these Calculus **Limit** practice problems is given in the video below!

## Limit example problem

Find the indicated limit:

Solution to this Calculus **Limit** practice problem is given in the video below!

## Limit example

Find the indicated limit:

Solution to this Calculus **Limit** practice problem is given in the video below!

## Limit example question #4

Find the indicated limit:

Solution to this Calculus **Limit** practice problem is given in the video below!

## Squeeze Theorem Limit example problem

Find the indicated limit:

Solution to this Calculus **Limit** practice problem is given in the video below!

## Formal Definition of Limit problems

## Delta-Epsilon Formal Limit Definition Theoretical example

Prove that if

by using Formal Definition of the Limit.

Solution to this Calculus **Formal Definition of a** **Limit** practice problem can be found in the video below!

## Delta-Epsilon Formal Limit Definition Theoretical example problem

Prove

by using Formal Definition of the Limit.

Solution to this Calculus **Formal Definition of a** **Limit** practice problem can be found in the video below!

## Delta-Epsilon Formal Limit Definition Theoretical example question

Prove

by using Formal Definition of the Limit.

Solution to this Calculus **Formal Definition of a** **Limit** practice problem can be found in the video below!

## Delta-Epsilon Formal Limit Definition Theoretical example #4

Prove

by using Formal Definition of the Limit.

**Formal Definition of a** **Limit** practice problem can be found in the video below!

## Delta-Epsilon Formal Limit Definition Theoretical example problem #5

Prove

by using Formal Definition of the Limit.

**Formal Definition of a** **Limit** practice problem can be found in the video below!

## Delta-Epsilon Formal Limit Definition Theoretical example question #6

Prove

by using Formal Definition of the Limit.

**Formal Definition of a** **Limit** practice problem can be found in the video below!

## Delta-Epsilon Formal Limit Definition Number example problem #7

If *f*(*x*) = 5*x –* 6, find

*> 0 whenever 0 <*

**δ***x –*14 <

**and**

*ε*Solution to this Calculus **Formal Definition of a** **Limit** practice problem is given in the video below!

## Limits of Logarithmic functions example problems

**Limits of Logarithmic Functions example question**

Find the following limits:

Solutions to these Calculus **Limit** practice problems are found in the video below!

**Limits of Logarithmic Functions example problem #2 using 2-Function Formula**

Given that

and

we have that

Using this conclusion, find the Limit of the following function:

Solution to these Calculus **Limit** practice problem is found in the video below!

## Limit of Rational Functions problems

**Limits of Rational Functions example question**

Find the indicated Limit of the following Rational Function:

Solution to this Calculus **Limit of a Rational Function** practice problem is given in the video below!

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