Home
Class 12
MATHS
If the function f(x) satisfies lim(x rar...

If the function `f(x)` satisfies `lim_(x rarr1)(f(x)-2)/(x^(2)-1)= pi` , then `lim_(x rarr 1)f(x)=`

A

1

B

2

C

0

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • KARNATAKA CET 2015

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

lim_(x rarr 1) (x^(18)-1)/(x^(6)-1) =

lim_(x rarr 1) (x^(2)-1)/(|x-1|) =

lim_(x rarr -1) (x^(9)+1)/(x^(14)-1)=

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

lim_(x rarr oo) (1-2/x)^(x) =

lim_(x rarr 0) (e^(x)-(1+x))/x^(2) =

lim_(x rarr 0) (1- cos x)/(x^(2)) is :

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2014-MATHEMATICS
  1. If f(x)=x^(3) and g(x)=x^(3)-4x in -2 le x le 2, then consider the sta...

    Text Solution

    |

  2. Which of the following is not a correct statement ?

    Text Solution

    |

  3. If the function f(x) satisfies lim(x rarr1)(f(x)-2)/(x^(2)-1)= pi , th...

    Text Solution

    |

  4. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

    Text Solution

    |

  5. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

    Text Solution

    |

  6. If f(x)=f(pi + e - x) and int(e)^(pi)f(x)dx=(2)/(e + pi), then int(e)^...

    Text Solution

    |

  7. If linear function f(x) and g(x) satisfy int[(3x-1)cosx+(1-2x)sinx]dx=...

    Text Solution

    |

  8. The value of the integral int(-pi//4)^(pi//4)log(sec theta-tan theta...

    Text Solution

    |

  9. int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

    Text Solution

    |

  10. Let S be the set of all real numbers. A relation R has been defined on...

    Text Solution

    |

  11. For any two real numbers, an operation ** defined by a**b=1+ab is

    Text Solution

    |

  12. Let f:N rarr N defined by f(n)={{:((n+1)/(2) " if n is odd"),(n/2" ...

    Text Solution

    |

  13. Suppose f(x)=(x+1)^(2) for x ge -1. If g(x) is a function whose graph ...

    Text Solution

    |

  14. The domain of the function f(x)=sqrt(cos x) is

    Text Solution

    |

  15. In a class of 60 students, 25 students play cricket and 20 students pl...

    Text Solution

    |

  16. Given 0 le x le 1/2 then the value of tan[sin^(-1){(x)/(sqrt(2))+(s...

    Text Solution

    |

  17. The value of sin(2 sin^(-1)0.8) is equal to

    Text Solution

    |

  18. If A is 3xx4 matrix and B is a matrix such that A'B and BA' are both d...

    Text Solution

    |

  19. The symmetric part of the matrix A=[(1,2,4),(6,8,2),(2,-2,7)] is

    Text Solution

    |

  20. If A is a matrix of order 3, such that A (adj A) = 10 I, then |adj A...

    Text Solution

    |