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(Solved): write the formal proof step by step 2. \( f(x) \) is continous at \( x=1 . \lim _{x \rightarro ...
write the formal proof step by step
2. \( f(x) \) is continous at \( x=1 . \lim _{x \rightarrow 1} \frac{f(x)}{x-1}=3 \). Does \( f^{\prime}(1) \) exist? If so, what is \( f^{\prime}(1) \) ? (Show your work) 3. \( g(x) \) is differentiabl. \( f(x)=g(a+b x)+g(a-b x) \). Find \( f^{\prime}(0) \)
Expert Answer
2. Given that, f(x) is continuous at x=1 and limx?1f(x)x?1=3 f'(1) does not