Question

Lim x-> 0 of ((x^2* sin (1/x)). Show that it equals 0.

Answer 1

\[\lim_{x \rightarrow 0} x^2 \sin \frac{ 1 }{ x }\]

Answer 2

l'Hospital rule to be applied here, hint , write the x^2 in numerator as 1/1/x^2

Answer 3

I think squeeze theorem can be used

Answer 4

How did you go from x^2 to 1/1/x^2 ? Sorry please explain.