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+1 vote
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in Limit, continuity and differentiability by (54.8k points)

The value of lim(x) (x - lncohx) is

(A) 0 

(B) In2 

(C) 1 

(D) 2ln2

1 Answer

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Best answer

Answer is (B) ln2

Lim(x )(x - ln(cosnx)) coshx = (ex + e-x)/2

lim(x∞) lnex - ln((ex + e-x)/2)

lim(x) ln(2ex/(ex + e-x))

= lim(x ) in(2/(1 + e-2x))

= ln2

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