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

If the function f(x) satisfies `lim_(x rarr 1)(f(x)-2)/(x^2-1)=pi`, evaluate `lim_(x rarr 1) f(x)`.

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise EXERCISE|26 Videos

  • LINEAR INEQUALITIES

    PSEB|Exercise EXERCISE|68 Videos

Similar Questions

Explore conceptually related problems

If the function f (x) satisfies lim_(x rarr 1)(f(x)-2)/(x^2-1)=pi , evaluate lim_(xrarr1)f(x) .

If the function f(x) satisfies lim_(x to 2) (f(x) + 3)/(8 - x^3 ) = 2pi , evaluate lim_(x to 2) f(x)

lim_(x rarr -1)(x^3-x^2+1) is equal to :

lim_(x rarr 0) ((x+1)^5-1)/x is :

lim_(x rarr 1)[x^3-x^2+1] is :

Evaluate : lim_(x rarr 0) (log(1+x))/x .

Evaluate : lim_(x rarr 0)(1-cos 3x)/x^2 .

Evaluate : lim_(x rarr 1) (a^(x)-1)/(sin pi x) .

Let f: R rarr [10,oo) be such that lim_(x rarr 5)f(x) exists and lim_(x rarr 5) ((f (x))^(2)-9)/(sqrt(|x-5|))=0 . Then lim_(x rarr 5) f(x) equals :

PSEB-LIMITS AND DERIVATIVES-EXERCISE
  1. Let a1, a2... . . an be fixed real numbers and define a function f(x)=...

    Text Solution

    |

  2. If f(x)={(|x|+1,x< 0),(0,x=0),(|x|-1,x>0):} For what value (s) of a do...

    Text Solution

    |

  3. If the function f(x) satisfies lim(x rarr 1)(f(x)-2)/(x^2-1)=pi, evalu...

    Text Solution

    |

  4. If f(x)={(mx^2+n, x < 0),(nx+m , 0le x le1),(nx^3+m, x >1):} . For wha...

    Text Solution

    |

  5. Find the derivative of x^2 -2 at x = 10.

    Text Solution

    |

  6. Find the derivative of 99x at x = 100.

    Text Solution

    |

  7. Find the derivative of x at x = 1.

    Text Solution

    |

  8. Find the derivative of the following function from first principle:- x...

    Text Solution

    |

  9. Find the derivative of the following function from first principle:- (...

    Text Solution

    |

  10. Find the derivative of the following function from first principle:- 1...

    Text Solution

    |

  11. Find the derivative of the following function from first principle:- (...

    Text Solution

    |

  12. For the function f(x)= x^100/100+x^99/99+...+x^2/2+x+1. Prove that f'(...

    Text Solution

    |

  13. Find the derivative of x^n + ax^(n-1) + a^2 x^(n-2) + . . .+ a^(n- 1) ...

    Text Solution

    |

  14. For some constants a and b, find the derivative of (x-a)(x-b)

    Text Solution

    |

  15. For some constants a and b, find the derivative of (ax^2+b)^2

    Text Solution

    |

  16. For some constants a and b, find the derivative of (x-a)/(x-b)

    Text Solution

    |

  17. Find the derivative of (x^n-a^n)/(x-a) for some constant a.

    Text Solution

    |

  18. Find the derivative of:- 2x-3/4

    Text Solution

    |

  19. Find the derivative of:- (5x^3+3x-1)(x-1)

    Text Solution

    |

  20. Find the derivative of:- x^(-3)(5 + 3x)

    Text Solution

    |