Illustration : Evaluate Lim x→0 (1+...
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Illustration : Evaluate Lim x→0 (1+x)^1/x-e/x

JEE/Engineering Exams
Maths
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Illustration : Evaluate Lim x→0 (1+x)^1/x-e/x
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We have,  Limx0(1+x)1x-ex Clearly,this limit is of from 00 L`Hospital rule(easier to comprehense as this is a 00 limit,we can use L`hospital rule) using L`Hospital rule 2 times(till we get a line expression in both numerator and denominator) We get:  Limx01(1+x)-x(1+x2)-1(1+x)2x Limx0-121+x2=-12 Limit=-12e

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