limit.........making me mad.....

\lim_{x\rightarrow a}\frac{cosx.log(x-a)}{log(e^{x}-e^{a})}

9 Answers

11
Mani Pal Singh ·

the answer to this 1 is Cos a

21
tapanmast Vora ·

Is da ans cos(a)

24
eureka123 ·

ya but how???????[7][7][7]

24
eureka123 ·

are u guys using LH ???????????

i dont answer by that method then beocz it would be toooo long..........

give some other good method if u have......

11
Mani Pal Singh ·

log(1+x)=x-x2/2+x3/3-x4/4.........................

now replace x by x-a-1
and denominator mein x by ex-ea-1

upper niiche kat jayega
and hence ur answer !!!!!!!!!!!!!

106
Asish Mahapatra ·

one small doubt.. when x=a- then x-a < 0 therefore log function itself is not defined...

11
Anirudh Narayanan ·

yup, same contoversy with

\lim_{x\rightarrow 0}\frac{sin\sqrt{x}}{\sqrt{x}}

106
Asish Mahapatra ·

more appropriate question shud have been lim(x→a+) i think... btw if this came in JEE then what shud be the answer.. if it was x→a doesn't exist or will it be cos(a) ?

106
Asish Mahapatra ·

yup ani ..

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