Limits at a Number Lesson Slides: 4 Slides

4 Slides • 8 Questions

1

Limits at a Number

2

Step 1: Just Plug in the Number

Plug in the number
If you just get a number, that's the answer

3

Multiple Choice

$\lim_{x\rightarrow5}\ \ -x^2-2x$

1

15

2

-15

3

-35

4

35

4

Multiple Choice

$\lim_{x\rightarrow1}\left(\frac{\left(3x^2-2x+11\right)}{4x^6}\right)$

1

0

2

1

3

2

4

3

5

If you get 0/0

Factor and cancel
Plug in the Number

6

Multiple Choice

$\lim_{x\rightarrow2}\left(\frac{\left(x^2-x-2\right)}{\left(x-2\right)}\right)$

1

DNE

2

0

3

2

4

3

7

Multiple Choice

$\lim_{x\rightarrow-1}\left(\frac{\left(x^2+4x+3\right)}{\left(x^2+5x+4\right)}\right)$

1

1/2

2

2/3

3

0

4

DNE

8

If you get c/0

There will be vertical asymptote
check where the Y valuie is headed and answer accordingly

9

Multiple Choice

$\lim_{x\rightarrow3}\left(\frac{1}{x-3}\right)$

1

DNE

2

$\infty$

3

$-\infty$

4

0

10

Multiple Choice

$\lim_{x\rightarrow2^+}\left(\frac{7}{x-2}\right)$

1

7

2

DNE

3

$\infty$

4

$-\infty$

11

Multiple Choice

$\lim_{x\rightarrow-6^-}^{ }\left(\frac{-1}{x+6}\right)$

1

$\infty$

2

$-\infty$

3

-1

4

DNE

12

Multiple Choice

$\lim_{x\rightarrow0}\ \frac{-1}{x^2}$

1

dne

2

$\infty$

3

$-\infty$

4

0

Limits at a Number

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