Q.
The value of the limit limx→0 11/sin2x+21/sin2x+…+n1/sin2xsin2x is
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a
∞
b
0
c
n(n+1)2
d
n
answer is D.
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Detailed Solution
limx→0 11/sin2x+21/sin2x+…+n1/sin2xsin2xput 1sin2x=t≥1∴limt→∞ 1t+2t+…+nt1/t =limt→∞ nt1/t1nt+2nt+…+11/t =nlimt→∞ 1nt+2nt+…+11/t=n[0+0+…+1]0=n
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