If m,n∈N,limx→$$0$$ $$sin$$⁡$$xn($$$$sin$$⁡$$x)m$$ is

Correct option is 1,2,3undefined

Questions

If $m, n \in N, lim_{x \to 0} \frac{\sin x^{n}}{(\sin x)^{m}}$ is

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1,if n=m

0,if n>m

∞, if n < m

n/m, if n < m

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detailed solution

Correct option is A

L=limx→0 sin⁡xn(sin⁡x)m=limx→0 sin⁡xnxnxn(sin⁡x)mxmxm=limx→0 xn−mIf n=m, thenL=( a very small value near to zero )exactly zero =1If n>m, then L= (a very small value near to zero)positive integer =0If n

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