MCQ
Let $f:(a, b) \rightarrow R$ be a differentiable function. Which of the following statements is true:
  • $\displaystyle \lim_{\text{x} \rightarrow \text{a}}\text{f(x)}=\infty \Longrightarrow \lim_{\text{x} \rightarrow \text{a}} |\text{f(x)}|=\infty $
  • B
    $\displaystyle \lim_{\text{x} \rightarrow \text{a}}\text{f(y)}=\infty \Longrightarrow \lim_{\text{x} \rightarrow \text{a}} |\text{f(y)}|=\infty $
  • C
    $\displaystyle \lim_{\text{x} \rightarrow \text{a}}\text{f(y)}=\infty \Longrightarrow \lim_{\text{x} \rightarrow \text{a}} |\text{f(y)}|=\infty \pi$
  • D
    $\displaystyle \lim_{\text{b} \rightarrow \text{a}}\text{f(y)}=\infty \Longrightarrow \lim_{\text{x} \rightarrow \text{a}} |\text{f(y)}|=\infty \pi$

Answer

Correct option: A.
$\displaystyle \lim_{\text{x} \rightarrow \text{a}}\text{f(x)}=\infty \Longrightarrow \lim_{\text{x} \rightarrow \text{a}} |\text{f(x)}|=\infty $
$f : (a, b) \rightarrow R$ is differentiable.
If $ \lim _\limits{ \text{x}\rightarrow \text{a} }{ \text{f}(\text{x} )}$

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