Home
Class 12
MATHS
If f(x)=cos^(-1)(4x^3-3x)and lim(xto1//2...

If `f(x)=cos^(-1)(4x^3-3x)and lim_(xto1//2+)f'(x)=a and lim_(xto1//2-)f'(x)=b` then a + b+ 3 is equal to

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - H)(MULTIPLE TRUE-FALSE TYPE QUESTIONS)|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - I)(SUBJECTIVE TYPE QUESTION)|6 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - E)(ASSERTION-REASON TYPE QUESTIONS)|5 Videos
  • INTEGRALS

    AAKASH INSTITUTE|Exercise Try yourself|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sin^(-1)x and lim_(xto1//2+)f(3x-4x^3)=a-3lim_(xto1//2+)f(x) , then [a] is equal to {where [] denotes G.I.F}

Let f(x+y)=f(x)f(y) and where f(x)=1+xg(x)phi(x) , lim_(xto0)g(x)=a and lim_(xto0)phi(x)=b Then what is f'(x) equal to ?

Statement 1: If f(x)=2/(pi) cot^(-1)((3x^(2)+1)/((x-1)(x-2))) , then lim_(xto1^(-))f(x)=0 and lim_(xto2^(-))f(x)=2 Statement 2: lim_(xtooo)cot^(-1)x=0 and lim_(xto -oo)cot^(-1)x=pi

Let f : R toR " be a real function. The function "f" is double differentiable. If there exists "ninN" and "p inR" such that "lim_(xto oo)x^(n)f(x)=p" and there exists "lim_(x to oo)x^(n+1)f(x), "then" lim_(x to oo) x^(n+2)f''(x) is equal to

Let f(x) be a function such that lim_(x rarr0)(f(x))/(x)=1 and lim_(x rarr0)(x(1+a cos x)-b sin x)/({f(x)^(3)})=1 ,then b-3a is equals to

Let f(x) be a polynomial satisfying lim_(xtooo) (x^(2)f(x))/(2x^(5)+3)=6" and "f(1)=3,f(3)=7" and "f(5)=11. Then lim_(xto1) (x-1)/(sin(f(x)-2x-1)) is equal to

If f(x)={{:(mx^2+x+n,"," x lt 0),(nx +m ,"," 0 le x le 1),(2nx^3+x^2-2x+m,","x gt1):} and lim_(xto0)f(x) and lim_(xto1) f(x) exist then