Nudar H.

asked • 10/28/21

How to solve this math by k(x+h)-k(x)/h this formula?


Consider the piecewise function


g(x)={(1+x)4−1, if x≥0

sin(4x), if x<0.

Discover whether g(x) is differentiable at x=0 using the limit definition of the derivative. Without carrying out any further calculation, what can you conclude about the continuity at point x=0?


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