Question
If limx→0((a−n)nx−tanx)sinnxx2=0 where n is nonzero real number, then a is equal to
Answer: Option D
:
D
limx→0((a−n)nx−tanx)sinnxx2=0
limx→0((a−n)n−(tanxx)).sinnxnx.n=0
⇒((a−n)n−1).1.n=0
⇒a=1n+n
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:
D
limx→0((a−n)nx−tanx)sinnxx2=0
limx→0((a−n)n−(tanxx)).sinnxnx.n=0
⇒((a−n)n−1).1.n=0
⇒a=1n+n
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