AP Calculus BC : 1.7 Selecting Procedures for Determining Limits- Exam Style questions with Answer- MCQ

$\lim_{x\rightarrow -7}\frac{x+7}{\left | x+7 \right |}$ is
A −1
B 0
C 1
D nonexistent

Answer/Explanation

If $f$

$f$

is the function defined above, then is

A -1

B 0

C 1

D nonexistent

Answer/Explanation

Ans:D

If $f$

$f$

is the function defined by $f(x)=\frac{x-1}{1-\frac{1}{x}}$ ,then is equivalent to which of the following?

Answer/Explanation

Ans:A

$f(x)=\frac{x-1}{1-\frac{1}{x}}=\frac{x-1}{\frac{x}{x}-\frac{1}{x}}=\frac{x-1}{\frac{(x-1)}{x}}=x$ for $x$

x

close to, but not equal to, 1. Therefore,

Let $f$ and $g$

be functions such that and . What is $the limit as x approaches 4, of, f of x$ ?

A $\frac{\pi }{7}$

B$ 7 + \pi $

C $7\pi $

D The limit cannot be determined from the information given

Answer/Explanation

.Ans:C