Home
Class 12
MATHS
Consider the limit lim (x to 0) (1)/(x ^...

Consider the limit `lim _(x to 0) (1)/(x ^(3))((1)/(sqrt(1+x))- ((1+ ax))/((1+bx)))`exists, finite and has the value equal to l (where a,b are real constants), then :
a=

A

38

B

16

C

72

D

24

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|2 Videos
  • LIMIT

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos
  • LIMIT

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos
  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos
  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

Consider the limit lim _(x to 0) (1)/(x ^(3))((1)/(sqrt(1+x))- ((1+ ax))/((1+bx))) exists, finite and has the value equal to l (where a,b are real constants), then : |(b)/(a)|=

If the lim_(x rarr0)(1)/(x^(3))((1)/(sqrt(1+x))-(1+ax)/(1+bx)) exists and has the value equal to l, then find the value of (1)/(a)-(2)/(l)+(3)/(b)

If the lim_(x rarr0)(1)/(x^(3))((1)/(sqrt(1+x))-(1+ax)/(1+bx)) exists and has the value to 1,then find the value of (1)/(a)-(2)/(l)+(3)/(b)

lim_(x rarr0)(1)/(x)log_(e)((1+ax)/(1-bx))

lim_(x to 0) (sqrt(1 + 3x) + sqrt(1 - 3x))/(1 + 3x) is equal to

Evaluate the following limits : lim_(x to 0)(sqrt(1+3x)-sqrt(1-3x))/(x)

Find the value of the limit lim_(x->0) ((sqrt(x^(2)-x+1)-1)/(x))

Evaluate the following limits : lim_(x to 0)(sqrt(1+x)-sqrt(1-x))/x

Evaluate the following limit: (lim)_(x rarr0)(x)/(sqrt(1+x)-sqrt(1-x))