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a
1,if n=m
b
0,if n>m
c
∞, if n < m
d
n/m, if n < m
answer is A.
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Detailed Solution
L=limx→0 sinxn(sinx)m=limx→0 sinxnxnxn(sinx)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