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Letf(x)={{:((x^(n)cos((1)/(x)))/(0^(tan^(m)x)),,xne0 ),(0,,x=0):} |
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Answer» `nlem` `:." "n-mgt0` so that f(x) is continuous at x=0 But f(x) is non-derivable at x=0, so `f'(0)=underset(xto0)Lim(x^(n)cos((1)/(x)))/(((tanx)/(x))^(m).x^(m).x)=underset(xto0)Limx^(n-m-1)cos((1)/(x))` `n-m-1le0` os that f'(0) does not EXIST `n-mle1` |
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