Home
Class 12
MATHS
If lim(x to 0) (1)/(x^(2)) (e^(2mx) - e^...

If `lim_(x to 0) (1)/(x^(2)) (e^(2mx) - e^(x) - x) = (3)/(2)` then the value of m is _____

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - H|2 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - I|6 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - F|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos
  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

If lim_(x to 1) (1 + ax + bx^(2))^((c )/(x - 1)) = e^(3) , then the value of a + b + bc + 2009 is…….

If L=lim_(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx) , then the value of 1//(3L) is ________.

If lim_(xto1) (1+ax+bx^(2))^((e)/((x-1)))=e^(3) , then the value of bc is _________.

If lim_(xto0) (1+ax+bx^(2))^(2//x)=e^(3) , then find the values of a and b.

Evaluate : lim_(x to 0) (e^(x) -e^(x))/x

Let lim_(x to 0) ("sin" 2X)/(tan ((x)/(2))) = L, and lim_(x to 0) (e^(2x) - 1)/(x) = L_(2) then the value of L_(1)L_(2) is

If L=lim_(xrarr0)((e^(-x^(2)/2)-cosx)/(x^(2)tan^(2)x)) , then the value of 3L is equal to

If lim_(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and b, are

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

Evaluate lim_(xto0) (e^(x)+e^(-x)-2)/(x^(2))