Can you please help me get the solution to this limit without using squeeze theorem and l'hopitals rule
lim x to 0 of x^3 sin(1/x)
lim x to 0 of x^2 sin^2(1/x)
try
(lim x^3) * (lim sin(1/x))
x^3 -> 0
|sin(1/x)| <= 1
lim x to 0 of x^3 sin(1/x)
lim x to 0 of x^2 sin^2(1/x)
(lim x^3) * (lim sin(1/x))
x^3 -> 0
|sin(1/x)| <= 1