Determine whether f is differentiable at x=0 by considering lim. f(0+h)−f(0) / h h→0 ​f(x)=7−x Choose the correct answer below. A. The function f is

Determine whether f is differentiable at x=0 by considering lim.    f(0+h)−f(0) / h h→0 ​f(x)=7−x Choose the correct answer below. A. The function f is differentiable at x=0 because both the​ left- and​ right-hand limits of the difference quotient exist at x=0. B. The function f is not differentiable at x=0 because the​ left- and​ right-hand limits of the difference quotient do not exist at x=0. C. The function f is differentiable at x=0 because the graph has a sharp corner at x=0. D. The function f is not differentiable at x=0 because the​ left- and​ right-hand limits of the difference quotient exist at x=​0, but are not equal.

 
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