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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)

1 answer

try

(lim x^3) * (lim sin(1/x))
x^3 -> 0
|sin(1/x)| <= 1
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