Let f(x) be a function defined on (-a ,a...

Let `f(x)` be a function defined on `(-a ,a)` with `a > 0.` Assume that `f(x)` is continuous at `x=0a n d(lim)_(xvec0)(f(x)-f(k x))/x=alpha,w h e r ek in (0,1)` then `f^(prime)(0^+)=0` b. `f^(prime)(0^-)=alpha/(1-k)` c. `f(x)` is differentiable at `x=0` d. `f(x)` is non-differentiable at `x=0`

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Let `f(x)` be a function defined on `(-a ,a)` with `a > 0.` Assume that `f(x)` is continuous at `x=0a n d(lim)_(xvec0)(f(x)-f(k x))/x=alpha,w h e r ek in (0,1)` then `f^(prime)(0^+)=0` b. `f^(prime)(0^-)=alpha/(1-k)` c. `f(x)` is differentiable at `x=0` d. `f(x)` is non-differentiable at `x=0`

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