Question 1

Find the x-coordinates for all points of discontinuity for  .

Accepted Answer

A)  5 
B)  7 
C)  -5 
D)  0 and 7 
E)  None exists.

Question 2

Answer true or false.

Accepted Answer

A) True 
 B)False

Question 3

Use $\delta$ and $\varepsilon$to prove  .

Accepted Answer

The answer of Use $\delta$ and $\varepsilon$to prove  ....

Question 4

Answer true or false. The Intermediate-Value Theorem can be used to show that the equation x5 = cos x has at least one solution on the interval [-5 $\pi$/6, 5 $\pi$/6].

Accepted Answer

A) True 
 B)False

Question 5

Find  where  .

Accepted Answer

The answer of Find  where  ....

Question 6

Find the discontinuities in  and state whether each is removable or nonremovable.

Accepted Answer

The answer of Find the discontinuities in  and state...

Question 7

Answer true or false. For the function graphed   is undefined

Accepted Answer

A) True 
 B)False

Question 8

Answer true or false. f(x) = x5 - 5x4 + 9 has no point of discontinuity.

Accepted Answer

A) True 
 B)False

Question 9

Approximate the limit by evaluating  at appropriate values of x.

Accepted Answer

A)  1 
B)  9 
C)  -9 
D)   
E)  undefined

Question 10

Given  , determine if h is continuous from the right at 0.

Accepted Answer

The answer of Given  , determine if h is...

Question 11

Given  , determine if g is continuous at x =  .

Accepted Answer

The answer of Given  , determine if g is...

Question 12

Find the limit

Accepted Answer

A)  0 
B)  1 
C)  3 
D)  +$\infty$ 
E)  -$\infty$

Question 13

Show that  is not a continuous function.

Accepted Answer

The answer of Show that  is not a continuous...

Question 14

Answer true or false. The fact that  and that  guarantees that  by the Squeeze Theorem.

Accepted Answer

A) True 
 B)False

Question 15

Determine the interval for which  is a continuous function.

Accepted Answer

The answer of Determine the interval for which  is...

Question 16

Find all points of discontinuity, if any, for  
A) 0
B)
  
C) 2 $\pi$
D)
  
E) None exist

Accepted Answer

A) True 
 B)False

Question 17

Find the limit.

Accepted Answer

A)  1 
B)  6 
C)  0 
D)  +$\infty$ 
E)  -$\infty$

Question 18

Find  .

Accepted Answer

The answer of Find  ....

Question 19

Find  .

Accepted Answer

The answer of Find  ....

Question 20

Find  .

Accepted Answer

The answer of Find  ....

Exam 1: Limits and Continuity

Find the x-coordinates for all points of discontinuity for .

Answer true or false.

Use $\delta$ and $\varepsilon$ to prove $Use \delta and \varepsilon to prove .$ .

Answer true or false. The Intermediate-Value Theorem can be used to show that the equation x⁵ = cos x has at least one solution on the interval [-5 $\pi$ /6, 5 $\pi$ /6].

Find where .

Find the discontinuities in and state whether each is removable or nonremovable.

Answer true or false. For the function graphed is undefined

Answer true or false. f(x) = x⁵ - 5x⁴ + 9 has no point of discontinuity.

Approximate the limit by evaluating at appropriate values of x.

Given , determine if h is continuous from the right at 0.

Given , determine if g is continuous at x = .

Find the limit $Find the limit A) 0 B) 1 C) 3 D) + \infty E) - \infty$

Show that is not a continuous function.

Answer true or false. The fact that and that guarantees that by the Squeeze Theorem.

Determine the interval for which is a continuous function.

Find the limit. $Find the limit. A) 1 B) 6 C) 0 D) + \infty E) - \infty$

Find .

Find .

Find .

Exam 1: Limits and Continuity

Find the x-coordinates for all points of discontinuity for .

Answer true or false.

Use δ\deltaδ and ε\varepsilonε to prove .

Answer true or false. The Intermediate-Value Theorem can be used to show that the equation x5 = cos x has at least one solution on the interval [-5 π\piπ /6, 5 π\piπ /6].

Find where .

Find the discontinuities in and state whether each is removable or nonremovable.

Answer true or false. For the function graphed is undefined

Answer true or false. f(x) = x5 - 5x4 + 9 has no point of discontinuity.

Approximate the limit by evaluating at appropriate values of x.

Given , determine if h is continuous from the right at 0.

Given , determine if g is continuous at x = .

Find the limit

Show that is not a continuous function.

Answer true or false. The fact that and that guarantees that by the Squeeze Theorem.

Determine the interval for which is a continuous function.

Find all points of discontinuity, if any, for A) 0 B) C) 2 π\piπ D) E) None exist

Find the limit.

Find .

Find .

Find .

Use $\delta$ and $\varepsilon$ to prove $Use \delta and \varepsilon to prove .$ .

Answer true or false. The Intermediate-Value Theorem can be used to show that the equation x⁵ = cos x has at least one solution on the interval [-5 $\pi$ /6, 5 $\pi$ /6].

Answer true or false. f(x) = x⁵ - 5x⁴ + 9 has no point of discontinuity.

Find the limit $Find the limit A) 0 B) 1 C) 3 D) + \infty E) - \infty$

Find the limit. $Find the limit. A) 1 B) 6 C) 0 D) + \infty E) - \infty$