Home
Class 12
MATHS
IF f(x)=1/(x+1)-log(1+x),xgt0 , then f i...

IF `f(x)=1/(x+1)-log(1+x),xgt0` , then f is

A

An increasing function

B

A decreasing function

C

Both increasing and decreasing function

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

3f(x)-f(1/x)=log_(e)x^(4)(xgt0) , then f(10^(-x)) is equal to

If f.(x)= log((1+x)/(1-x)) , then

If g(x)=ln(1+x)(tan^(-1)x)/(1+x),xgt0 then sgn(g(x)) is,(where sgn(.) represents signum function)

If the f(x) =(log(1+ax)-log(1-bx))/x , xne0 is continuous at x = 0 then, f(0) = .....

If f(x)=log((1-x)/(1+x)),-1ltxlt1 , then show that : f(-x)=-f(x) .

If f(x)=log((1-x)/(1+x)),-1ltxlt1 , then f(-x)=f(x) .

If f(x)=int_0^x (sint)/(t)dt,xgt0, then

Let f(x)=int_1^x 3^t/(1+t^2)dt, xgt0 , then (A) for 0 lt alpha lt beta, f(alpha) lt f(beta) (B) for 0ltalphaltbeta, f(alpha)gtf(beta) (C) f(x)+pi/4lttan^-1x, AA xge1 (D) f(x)+pi/4gttan^-1x, AA xge1

Let f(x) be defined for all x in R such that lim_(xrarr0) [f(x)+log(1-(1)/(e^(f(x))))-log(f(x))]=0 . Then f(0) is