L HOSPITAL RULE

Lim Sin.Log x2
x→0
Find the value using L hospital rule.

4 Answers

37
Karan Matalia ·

Please help me out someone!

51
Aditya Agrawal ·

Not Possible.

591
Akshay Ginodia ·

Is the answer -1 ?

591
Akshay Ginodia ·

Actually i think the limit is not defined..as logx2→∞ as x→0 so the limit is sin(∞) and it can have any value b/w -1 and 1..u can't exactly say

As for the method to use in some other problem,
Let L= lim x→0 Sin.Logx2
L = lim x→0 xSin.Logx2 x
Differentiate the N & D
L= lim x→0 (SinLogx2+12CosLogx2)
L=L+lim x→0 12CosLogx2

so lim x→0 CosLogx2= 0

from here lim x→0 Sin.Logx2 = ±1 ( from this method too 2 values are coming which is absurd)

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