1800-150-456-789
FlagBACK
Flag Differential Calculus> \lim_(x->\infty )(1+(1)/(2x-2))^(x-1) wit...
question mark

\\lim_(x->\\infty )(1+(1)/(2x-2))^(x-1) without using L hospital rule

Narayana Murthy Pola , 4 Years ago
Grade 11
anser 4 Answers
Arun

Last Activity: 4 Years ago

Dear student
 
Please attach an image. So that it is clear every terms.
I will be happy to help you.
 
Regards

Vikas TU

Last Activity: 4 Years ago

Dear student 
Question is not clear 
Please attach an image, 
We will happy to  help you 
Good Luck
Cheers

Aditya Gupta

Last Activity: 4 Years ago

your ques is to find limit (x->infty )(1+(1)/(2x-2))^(x-1)
= limit (x->infty )(1+1/2(x-1))^(x-1)
let y= x – 1, we get
L= limit (y->infty )(1+1/2y)^y
logL= limit (y->infty )y*log(1+1/2y)
put 1/2y= z
so logL= limit (z ->0)log(1+z)/2z
or 2logL= limit (z ->0)log(1+z)/z= 1
or logL= ½ 
or L= e^(1/2)= sqrt(e)
KINDLY APPROVE :))

Manish kumar

Last Activity: 4 Years ago

Dear student 
Question is not clear 
Please attach an image, 
We will happy to  help you 
Good Luck
Cheers
thanks 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Differential Calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution tomove once over to level a playground. find the area of the playground in square m?
Differential Calculus
1 Answer Available

Last Activity: 1 Year ago(s)

question mark
Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.
Differential Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
Differential Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
Differential Calculus
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
Differential Calculus
0 Answer Available

Last Activity: 2 Year ago(s)