Home
Class 12
MATHS
If the fucntion f (x ) satisfies unde...

If the fucntion f (x ) satisfies `underset( x to 1) (lim ) . (f (x ) -2)/( x^(2)-1)=pi `

A

2

B

3

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos

  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|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_(x rarr1)(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) .

The function f(x) satisfying the equation (f (x))^2 + 4 f'(x) f(x) + (f'(x))^2 = 0

Evaluate: underset(x rarr -2)lim (1/x+1/2)/(x+2)

Evaluate underset(xrarr0)lim ((x+1)^(2)-1)/(x) ?

If function f(x) is differentiable at x=a , then lim_(xtoa)(x^(2)f(a)-a^(2)f(x))/(x-a) is :

For x in R , the functions f(x) satisfies 2f(x)+f(1-x)=x^(2) . The value of f(4) is equal to

If linear function f(x) and g(x) satisfy int[(3x-1) cos x + (1-2x)sinx]dx = f(x) cos + g(x) sin x + C , then

Let f(x), g(x) be differentiable functions and f(1) = g(1) = 2, then : lim_(x rarr 1) (f(1) g(x) - f(x) g(1) - f(1) + g(1))/(g(x) - f(x)) equals :

MODERN PUBLICATION-MOCK TEST PAPER -I-SELECT THE CORRECT ANSWER
  1. If | adj . A | =25 [A " is of order 3 ] then " | A^(-1) |=

    Text Solution

    |

  2. If f(x ) = {(3 sin pi x)/(5x ) underset( x=0)underset( x ne 0) is con...

    Text Solution

    |

  3. If the fucntion f (x ) satisfies underset( x to 1) (lim ) . (f (x )...

    Text Solution

    |

  4. If the three function f(x),g(x) and h(x) are such that h(x)=f(x)g(x) a...

    Text Solution

    |

  5. the derivative of e^(ax) cos bx with respect to x is re^(ax) cos...

    Text Solution

    |

  6. If x=a cos ^(3) theta and y = a sin^(3) theta then (dy)/( dx) =

    Text Solution

    |

  7. If y= tan^(-1) sqrt(x^(2)-1) then the ratio (d^(2)y)/(dx^(2)) : (dy)/...

    Text Solution

    |

  8. If sqrt(r ) =ae^(thetacotalpha) where a and alpha are real numbers the...

    Text Solution

    |

  9. P is the point of contact of the tangent from the orign to the c...

    Text Solution

    |

  10. The lengths of the sub-tangent , ordinate and the sub-normal are in

    Text Solution

    |

  11. the set of real values of x for which f(x ) = (x ) /( log x) is i...

    Text Solution

    |

  12. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  13. if int f (x ) sin x cos x dx = (1)/(2(b^(2) -a^(2)) log f(x ) + c w...

    Text Solution

    |

  14. int (sin^(-1))/(sqrt(1+x)) dx=

    Text Solution

    |

  15. int (cos^(n-1))/( sin^(n+1)) dx , n ne 0 is :

    Text Solution

    |

  16. The value of the intergral underset(0)overset(pi//2)(int) (sin^(100)...

    Text Solution

    |

  17. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

    Text Solution

    |

  18. The area bounded by the curve : y={(x^2,x lt 0),(x,xge0):} and the...

    Text Solution

    |

  19. If m and n are the order and degree of the different equatin : ...

    Text Solution

    |

  20. The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...

    Text Solution

    |