Question icon
Grade 12Differential Calculus

see attachment and explain it

Question image for see attachment and explain it
Profile image of Shivam
12 Years agoGrade 12
Answers icon

1 Answer

Profile image of Arun Kumar
12 Years ago
Hello
if f=x^alpha *sin(1/x) at x not equal to zero.
then
by squeeze theorem limit x to 0 f will be = 0 for alpha > 0
but randomness around 0 is too great for alpha=1 so not differentiable.
so alpha > 1
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty