Home
Class 11
MATHS
If the function f(x) satisfies (lim)(x->...

If the function f(x) satisfies `(lim)_(x->1)(f(x)-2)/(x^2-1)=pi,`evaluate `(lim)_(x->1)f(x)`

Text Solution

AI Generated Solution

To solve the problem, we need to evaluate the limit: \[ \lim_{x \to 1} f(x) \] given that: ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|25 Videos
  • LIMITS AND DERIVATIVES

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|30 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos
  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos

Similar Questions

Explore conceptually related problems

For the function f(x) = 2 . Find lim_(x to 1) f(x)

For the function f(x) = 4x . Find lim_(x to 2) f (x)

Suppose |[f'(x),f(x)],[f''(x),f'(x)]|=0 is continuously differentiable function with f^(prime)(x)!=0 and satisfies f(0)=1 and f'(0)=2 then (lim)_(x->0)(f(x)-1)/x is 1//2 b. 1 c. 2 d. 0

If lim_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {f(x)+(3f(x)−1)/(f^2(x))}=3 ,then the value of lim_(x->oo) f(x) is

A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=((e^x)^2)/((x+1)),AAx >-1. If f(0)=5, then f(x) is

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

For x inR - {1} , the function f(x ) satisfies f(x) + 2f(1/(1-x))=x . Find f(2) .

Find (lim)_(x->1)f(x) ,where f(x)={(x^2-1, xlt=1),(-x^2-1, x >1):}

If ("lim")_(x->a)[f(x)+g(x)]=2a n d ("lim")_(x->a)[f(x)-g(x)]=1, then find the value of ("lim")_(x->a)f(x)g(x)dot

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x) , then period of f(x) can be