Question

Consider the following statements:
Statement 1: $ \displaystyle \lim _{x \rightarrow 1} \frac{a x^{2}+b x+c}{c x^{2}+b x+a}$ is $1($ where $a+b+c \neq 0)$
Statement 2: $ \displaystyle \lim _{x \rightarrow-2} \frac{\frac{1}{x}+\frac{1}{2}}{x+2}$ is $\frac{1}{4}$

• A. Only statement 2 is true
• B. Only statement 1 is true
• C. Both statements 1 and 2 are true
• D. Both statements 1 and 2 are false

Answer 1

Answer: (B)

statement 1 is true Statement 2 is false
${\left[\frac{a+b+c}{a+b+c}=1\right]} $
$\displaystyle\lim _{x \rightarrow-2} \frac{\frac{1}{x}+\frac{1}{2}}{x+2} \text { is }-\frac{1}{4}$