If f′ (0) = 0 and f(x) is a differentiable and increasing functio… - Vidyadip

MCQ

If $f′ (0) = 0$ and $f(x)$ is a differentiable and increasing function,then $\lim\text{x}\rightarrow0 \ \frac{\text{x},\text{f(x)}^2}{\text{f(x)}}$:

✓
Is always equal to zero
B
May not exist as left hand limit may not exist
C
May not exist as left hand limit may not exist
D
Right hand limit is always zero

✓

Answer

Correct option: A.

Is always equal to zero

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