Home
Class 11
MATHS
If |x| lt 1, then (1)/(2) log((1+x)/(1-x...

If `|x| lt 1`, then `(1)/(2) log((1+x)/(1-x))=`

A

tanh(x)

B

`"sinh"^(-1)(x)`

C

`"cosh"^(-1)(x)`

D

`"tanh"^(-1)(x)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE - II|29 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|21 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|16 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

Similar Questions

Explore conceptually related problems

If |x| lt 1 then (1)/(2) log_(e)((1+x)/(1-x)) =

Assertion (A) : (1)/(5)+(1)/(3.5^(3))+(1)/(5.5^(5))+(1)/(7.5^(7))+…(1)/(2)log((3)/(2)) Reason (R ) : If |x| lt 1 then log_(e )((1+x)/(1-x))=2(x+(x^(3))/(3)+(x^(5))/(5)+…)

int_(-1)^(1)log((2+x)/(2-x))dx=

Assertion (A) : If x+(x^(2))/(2)+(x^(3))/(3)+………oo=log((7)/(6)) then x=(1)/(7) Reason (R ) : If |x| lt 1 , then x+(x^(2))/(2)+(x^(3))/(3)+…..oo=log((1)/(1-x))

Lt_(x to 1)x^((1)/(1-x))=

If f(x) = 1 + x + x^(2) + …… for |x| lt 1 then show that f^(-1)(x) = (x-1)/(x) .

If x lt -1," then "2tan^(-1)x+sin^(-1)((2x)/(1+x^(2)))=