Home
Class 12
MATHS
f (x) =lim (n to oo) (x ^(n)+ ((pi)/(3 )...

`f (x) =lim _(n to oo) (x ^(n)+ ((pi)/(3 ))^(pi))/(x ^(n-1)+((pi)/(3))^(n-1)),` ( n is an even integer), then which of the following is incorrect ?

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

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|8 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

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

  • LOGARITHMS

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

Similar Questions

Explore conceptually related problems

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

If f(tanx)=sin2x: x ne (2n+1)(pi)/(2), n in I then which of the following is an incorrect statement?

If phi(x)=lim_(n->oo)(x^(2n)(f(x)+g(x)))/(1+x^(2n)) then which of the following is correct

lim_(n to oo)(1)/(n)[tan.(pi)/(4n)+tan.(2pi)/(4n)+…..+tan.(n pi)/(4n)]

If f (x) = lim _( n to oo) (n (x ^(1//n)-1)) for x gt 0, then which of the following is/are true?

If I_n=int_(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... then which one of the following is not true ?

Let f(x)=lim_(n to oo) ((2 sin x)^(2n))/(3^(n)-(2 cos x)^(2n)), n in Z . Then

Let f(x)=lim_(nrarroo) (tan^(-1)(tanx))/(1+(log_(x)x)^(n)),x ne(2n+1)(pi)/(2) then

Evaluate sin{ n pi+(-1)^(n) (pi)/(4) , where n is an integer.

Evaluate sin{ n pi+(-1)^(n) (pi)/(4) , where n is an integer.