Question 1

What is the limit of a constant c?

Accepted Answer

c

Answer

∞

Answer

does not exist

Answer

0

Question 2

What does the Constant Multiple Theorem state?

Accepted Answer

A constant can be factored out of a limit

Answer

The limit of a product equals the product of the limits

Answer

Limits only apply to polynomials

Answer

The limit of a constant is always zero

Question 3

Why are limit laws important?

Accepted Answer

They allow complex limits to be evaluated easily

Answer

They eliminate the need for substitution

Answer

They only apply to rational functions

Answer

They replace continuity rules

Question 4

When can the Division Theorem be applied?

Accepted Answer

When the denominator limit is not zero

Answer

When both limits are zero

Answer

Only for polynomial functions

Answer

When the numerator is zero

Question 5

Find lim x→2 (x2 + 3x).

Accepted Answer

10

Answer

9

Answer

12

Answer

8

Question 6

How are the Addition and Subtraction Theorems similar?

Accepted Answer

They allow term-by-term evaluation of limits

Answer

They cancel denominators

Answer

They require factoring

Answer

They only apply to constants

Question 7

If lim f(x)=5 and lim g(x)=2 as x→3, what is lim [f(x)−g(x)]?

Accepted Answer

3

Answer

10

Answer

7

Answer

1

Question 8

Which limit law helps simplify lim x→2 (3x + 4x2)?

Accepted Answer

Sum Law

Answer

Squeeze Theorem

Answer

Quotient Law

Answer

Power Law

Question 9

The limit of a polynomial as x approaches a constant is found by:

Accepted Answer

direct substitution

Answer

rationalizing

Answer

graphing only

Answer

factoring

Question 10

The expression 0/0 is called:

Accepted Answer

indeterminate form

Answer

infinite

Answer

undefined

Answer

discontinuity

Question 11

Why can lim x→2 (3x+4x^2) be evaluated by substitution?

Accepted Answer

It is continuous everywhere

Answer

It is a rational function

Answer

It has no denominator

Answer

It simplifies to zero

Question 12

The function f(x)=x^2−4 is undefined at x=2, but its limit exists because:

Accepted Answer

the denominator cancels

Answer

all limits exist

Answer

the graph is vertical

Answer

the numerator is zero

Question 13

Find lim x→4 (x^2−16)/(x−4).

Accepted Answer

8

Answer

16

Answer

6

Answer

4

Question 14

Find lim x→0 (x/(x+4))−2.

Accepted Answer

1/4

Answer

1/2

Answer

does not exist

Answer

0

Question 15

Find lim x→0 ((x+2)^2−4x)/(x).

Accepted Answer

4

Answer

8

Answer

6

Answer

2

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