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Question Number 209434 by justenspi last updated on 10/Jul/24
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Commented by justenspi last updated on 10/Jul/24
Commented by Berbere last updated on 10/Jul/24
=lim_(x→a) ((e^(g(x)) (e^(f(x)−g(x)) −1))/(f(x)−g(x)))  =e^(g(a)) ∗lim_(x→a) ((e^(h(x)) −1)/(h(x)))  x→a h(x)→0  ⇒e^(g(a)) .lim_(x→0) ((e^x −1)/x)=e^a
=limxaeg(x)(ef(x)g(x)1)f(x)g(x)=eg(a)limxaeh(x)1h(x)xah(x)0eg(a).limx0ex1x=ea
Commented by justenspi last updated on 10/Jul/24
Thank you Sir Witcher you are the best
ThankyouSirWitcheryouarethebest
Commented by justenspi last updated on 10/Jul/24
Commented by justenspi last updated on 10/Jul/24
Also sir in this problem shouldnot the final  answer be a function in n  why did he assume that n=1010
Alsosirinthisproblemshouldnotthefinalanswerbeafunctioninnwhydidheassumethatn=1010

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