Question: Consider the real valued function f(x)={(e^(-(1)/(x^(2))),x!=0),(0,x=0):}(a) Show that this function is differentiable at x=0.(Hint: you will need to use the limit definition of the derivative).(b)
Consider the real valued function f(x)={(e^(-(1)/(x^(2))),x!=0),(0,x=0):}(a) Show that this function is differentiable at x=0.(Hint: you will need to use the limit definition of the derivative).(b) Find the Taylor series for this function centered at x=0.
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