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Question

Question: If f(x) = \(\lim_{h \rightarrow 0}\frac{f(2h + 2 + h^{2}) - f(2)}{f(h - h^{2} + 1) - f(1)} =\) then ...

If f(x) = limh0f(2h+2+h2)f(2)f(hh2+1)f(1)=\lim_{h \rightarrow 0}\frac{f(2h + 2 + h^{2}) - f(2)}{f(h - h^{2} + 1) - f(1)} = then the function is non differentiable at –

A

One point

B

Two points

C

Three points

D

Four points

Answer

Three points

Explanation

Solution

sketching the graph

At three points

x = –3, 1, 3