GATE | GATE-CS-2015 (Set 1) | Question 65

(A) ∞
(B) 0
(C) 1
(D) Not Defined

Answer: (C)
Explanation:

= 0. and

= 1.

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Alternate method : Using log

lnm=lim x->infinity 1/x*lnx

lim x->infinity lnx/x  (numerator = finite value,denominator = infinity and finite/infinite=0   )

ln(m)=0

m=e⁰=1

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