59. Determine whether f'(0) exists. f(x)={x sin(1/x) if x≠0, 0 if x=0
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Show that the function f defined by f(x) = xsin(1/x) and 0 when x=0 is continuous at x=0.
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This chapter closes now, for the next one to begin. 🥂✨.#iitbombay #convocation
x Sin(1/x) is continuous at x=0 but not differentiable
`f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):}` at `x = 0`
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Find the limit as x approaches 0^+ for (1/x - 1/(e^x -1)). l’Hopital’s Rule