(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

assume a function F(x)=(a|x|^(a-1))*(sin(1/x))-((|x|^a)/(x^2))*(cos(1/x)) for x not equal to 0

F(x)=0 for x equal to 0

for what values of a that this function is continuous on R(real number)

2. Relevant equations

the F(x) is the differentiation of |x|^a sin(1/x)

3. The attempt at a solution

i don.t know how to consider the value a

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# A continuous function problem

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