Home
Class 12
MATHS
f(x) = (x^n + (pi/3)^n)/(x^(n-1) + (pi/3...

f(x) = `(x^n + (pi/3)^n)/(x^(n-1) + (pi/3)^(n-1))`,(n is an even number, then which of the following is correct

A

If `f ,[(pi)/(3), oo)to [(pi)/(3), oo),` then function is inbvertible

B

`f (x) = f(-x)|` has infinite number of solutions

C

`f (x)= |f (x)|` has infinite nouber of solution

D

`f (x)` is one-one function for all `x in R`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMIT

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

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|11 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

If f(x)={{:(mx+1,xle(pi)/(2)),(sinx+n,xgt(pi)/(2)):} is continuous at x=(pi)/(2) . Then which one of the following is correct?

Let f:(-pi/2, pi/2)->R, f(x) ={lim_(n->oo) ((tanx)^(2n)+x^2)/(sin^2x+(tanx)^(2n)) x in 0 , n in N; 1 if x=0 which of the following holds good?

The function f(x)=(4sin^(2)x-1)^(n)(x^(2)-x+1),n in N has a local minimum at x=(pi)/(6). Then (a) n is any even number (b) n is an odd number ( ) n is odd prime number (d) n is any natural number

Is the function f(x)=x^(3n), n in N even?

Evaluate: lim_(x rarr oo)sin^(n)((2 pi n)/(3n+1)),n in N

Let f(x)=(x-1)(x-2)(x-3)...(x-n),n in N, and f(n)=5040 Then the value of n is