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Table of contents

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0. Fundamental Concepts of Algebra3h 29m
1. Equations and inequalities3h 27m
2. Graphs43m
3. Functions & Graphs2h 17m
4. Polynomial Functions1h 54m
5. Rational Functions1h 23m
6. Exponential and Logarithmic Functions2h 28m
7. Measuring Angles39m
8. Trigonometric Functions on Right Triangles2h 5m
9. Unit Circle1h 19m
10. Graphing Trigonometric Functions1h 19m
11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
12. Trigonometric Identities 34m
13. Non-Right Triangles1h 38m
14. Vectors2h 25m
15. Polar Equations2h 5m
16. Parametric Equations1h 6m
17. Graphing Complex Numbers1h 7m
18. Systems of Equations and Matrices1h 6m
19. Conic Sections2h 36m
20. Sequences, Series & Induction1h 15m
21. Combinatorics and Probability1h 45m
22. Limits & Continuity1h 49m

22. Limits & Continuity

Finding Limits Algebraically

22. Limits & Continuity

Finding Limits Algebraically - Video Tutorials & Practice Problems

Previous Topic: Introduction to Limits

Next Topic: Continuity

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Get a 10 bullets summary of the topic

1

concept

Finding Limits by Direct Substitution

Video duration:

5m

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2

example

Finding Limits by Direct Substitution Example 1

Video duration:

1m

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3

Problem

Problem

Find the limit.
$\lim_{x\rarr0}x^3+5x^2-7x+3$

A

$0$

B

$2$

C

$3$

D

$5$

4

Problem

Problem

Find the limit.
$\lim_{x\rarr2}\sqrt{x^2+5}$

A

$0$

B

$2$

C

$3$

D

$5$

5

Problem

Problem

Find the limit.
$\lim_{x\rarr3}\frac{x^2+2x-3}{x-2}$

A

$0$

B

$3$

C

$12$

D

$DNE$

6

concept

Limits of Rational Functions: Denominator = 0

Video duration:

6m

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7

example

Limits of Rational Functions: Denominator = 0 Example 1

Video duration:

3m

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8

Problem

Problem

Find the limit.
$\lim_{x\rarr0}\frac{3x^2+7x}{x}$

A

$0$

B

$7$

C

$-3$

D

DNE

9

Problem

Problem

Find the limit.
$\lim_{x\rarr2}\frac{x^2-7x+12}{x-3}$

A

$-1$

B

$-2$

C

$0$

D

DNE

10

Problem

Problem

Find the limit.
$\lim_{x\rarr-2}\frac{x^2-5x-14}{x+2}$

A

$-9$

B

$-2$

C

$0$

D

Does not exist

11

Problem

Problem

Find the limit.
$\lim_{x\rarr-\pi}\frac{\sin x}{x}$

A

$-\frac{1}{\pi}$

B

$0$

C

$\pi$

D

Does not exist

12

concept

Limits of Rational Functions with Radicals

Video duration:

6m

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13

example

Limits of Rational Functions with Radicals Example 3

Video duration:

2m

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14

Problem

Problem

Find the limit.
$\lim_{x\rarr3}\frac{\sqrt{x}-\sqrt3}{x-3}$

A

$2\sqrt3$

B

$0$

C

$\frac{\sqrt3}{6}$

D

Does not exist

15

Problem

Problem

Find the limit.
$\lim_{x\rarr0}\frac{\sqrt{x+1}-1}{x}$

A

$0$

B

$\frac12$

C

$1$

D

Does not exist

16

Problem

Problem

Find the limit.
$\lim_{x\rarr5}\frac{x-5}{\sqrt{x}-\sqrt5}$

A

$\sqrt5$

B

$2\sqrt5$

C

$\frac{\sqrt5}{10}$

D

Does not exist

Previous Topic: Introduction to Limits

Next Topic: Continuity

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