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  4. Let f:r→ [0,∞) be such that limx → 5f(x) exists and limx → 5((f(x))2-9/√|x-5|)=0 . then limx → 0f(x)

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Q. Let $f:r\to [0,\infty)$ be such that $\lim_{x \to 5}f(x)$ exists and $\lim_{x \to 5}\frac{(f(x))^2-9}{\sqrt{|x-5|}}=0$ . then $\lim_{x \to 0}f(x)$

Solution:

Correct answer is (a) 3