Home
Class 12
MATHS
Find underset(x to oo)lim (1+1/x^2)^x...

Find `underset(x to oo)lim (1+1/x^2)^x`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Infinitesimal and Infinite Functions.|3 Videos

  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Equivalent Infinitesimals.|4 Videos

  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise The Limit of a Function|1 Videos

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.4. Reduction Formulas|2 Videos

  • THE DEFINITE INTEGRAL

    IA MARON|Exercise 6 . 8 (Additional Problems)|3 Videos

Similar Questions

Explore conceptually related problems

Value of the underset(x to -2)lim (tan pi x)/(x+2)+underset(x to oo)lim (1+1/x^(2))^(x) is

underset(x to oo)lim (cos""2/x)^(x^2)=

The value of the limit underset(x to oo)lim ((x^(2)-1)/(x^(2)+1))^(x^(2)) equal to

Find the limits: (a) underset(x to 0)lim (1-cos x)/(x^2) (b) underset(x to 0)lim (tanx-sinx)/(x^(3)) (c ) underset(x to 1)lim ""(cos (pix//2))/(1-x)

Find the limits : underset(x to oo)lim ((1+x)/(2+x))^((1-sqrtx)//(1-x)) (b) underset(x to oo)lim ((x^(2)+2x-1)/(2x^(2)-3x-2))^((2x+1)//(x-1))

Find underset( x rarr oo )("lim") ((1-2x)/((1+ 8x^(3))^(1//3))+2^(-x^(7)))

(i) Let h (x) = underset(x to oo)lim(x^(2n) f(x) + g(x))/(1+x^(2n)) , find h(x) in terms of f(fx) and g(x) (ii) without using L Hospital rule or series expansion for e^(x) evaluate underset(x to 0) lim (e^(x) -1-x)/x^(2) (iii) underset(n to oo) lim [ e^(1/n)/n^(2) + 2 ((e^(1/n))^(2))/n^(2) + 3. ((e^(1/n))^(3))/n^(2)+.......+ n((e^(1/n))^(n))/n^(2)] (iv) underset(x to 0)lim[ (a sin x)/x ] + [ (b tan x)/x] Where a,b are inegers and [] denotes integral part. (v) underset(x to a)lim (sinx/sina)^(1/(x-a))