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. 
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

@#IMG-DLM& if @#IMG-DLM& . If

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 limit

Question 6

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

Accepted Answer

x = 0 is n

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

Question 10

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

Accepted Answer

h is conti

Question 11

Given   , determine if g is continuous at x =   .

Accepted Answer

@#IMG-DLM& @#IMG-DLM& So g is

Question 12

Find the limit

Accepted Answer

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

Question 13

Show that   is not a continuous function.

Accepted Answer

f is not c

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  ...

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)  -$\infty$ 
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   ....

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

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 .

Find .

Find .

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

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 .

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

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.