Limit Continuity and Differentiability 1 Question 12

13. If limx→0(a−n)nx−tan⁡xsin⁡nxx2=0, where n is non-zero real number, then a is equal to

(a) 0

(b) n+1n

(c) n

(d) n+1n

(2012)

Show Answer

Answer:

Correct Answer: 13. (d)

Solution:

  1. For x∈R,limx→∞x−3x+2x=limx→∞(1−3/x)x(1+2/x)x=e−3e2=e−5
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