Home
Class 12
MATHS
If f(x)={((sqrt(g(x))-1)/(sqrtx-1)"," , ...

If `f(x)={((sqrt(g(x))-1)/(sqrtx-1)"," , x ne 1),(1",",x=1):}` and `g'(1)=2, g(1)=1,` then `lim_(xrarr1)f(x)` is equal to

A

1

B

3

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 7

    NTA MOCK TESTS|Exercise MATHEMATICS - Subjective Numerical|5 Videos

  • JEE MOCK TEST 9

    NTA MOCK TESTS|Exercise MATH|25 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr1)(x^(m)-1)/(x^(n)-1) is equal to

If f(x) = 3x + 1 and g(x) = x^(2) - 1 , then (f + g) (x) is equal to

If f(1)=1,f'(1)=2 then lim_(x rarr1)(sqrt(f(x)-1))/(sqrt(x)-1) is equal to

lim_(xrarr1)(sqrt1-cos2(x-1))/(x-1) , is

If g(1)=g(2), then int_(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

If f(x)=x+1.g^(-1)(x)=x^(3)+x+1 and g(f(x))=h(x) then lim_(x rarr1)(h^(-1)(x)-h^(-1)(1))/(x-1) is equal to

If f(1) =g(1)=2 , then lim_(xrarr1) (f(1)g(x)-f(x)g(1)-f(1)+g(1))/(f(x)-g(x)) is equal to

NTA MOCK TESTS-JEE MOCK TEST 8-MATHEMATICS
  1. If f(x)=2x-sinx, f:RrarrR and g(x)=x^((1)/(3)), g:RrarrR, then

    Text Solution

    |

  2. General solution of the equation tan^(2)theta+sec2theta=1 is

    Text Solution

    |

  3. 2^(n) lt n! holds for

    Text Solution

    |

  4. The relation tan^(-1)((1+x)/(1-x))=(pi)/(4)+tan^(-1)x holds true for a...

    Text Solution

    |

  5. Line L has intercepts a and b on the coordinate axes. When the axes a...

    Text Solution

    |

  6. A chimeny of 20 m height standing on the top of a building subtends an...

    Text Solution

    |

  7. The value of the integral int(-a)^(a)(e^(x))/(1+e^(x))dx is

    Text Solution

    |

  8. The function x^(5)-5x^(4)+5x^(3)-1 is

    Text Solution

    |

  9. Find the order and degree of the following differential equation: (d^2...

    Text Solution

    |

  10. A and B are two given matrices such that the order of A is 3 xx 4 if ...

    Text Solution

    |

  11. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

    Text Solution

    |

  12. The variance of the numbers 2, 3, 11 and x is (49)/(4), then the value...

    Text Solution

    |

  13. If n is an even positive integer greater than 1 and x gt0, then the ...

    Text Solution

    |

  14. If f(x)={((sqrt(g(x))-1)/(sqrtx-1)"," , x ne 1),(1",",x=1):} and g'(1)...

    Text Solution

    |

  15. Let two numbers have arithmatic mean 9 and geometric mean 4.Then these...

    Text Solution

    |

  16. If two point P and Q are on the curve y=2^(x+2), such that vec(OP).hat...

    Text Solution

    |

  17. Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...

    Text Solution

    |

  18. Show that if iz^3+z^2-z+i=0, then |z|=1

    Text Solution

    |

  19. The graph of the antiderivative of f(x)=xe^((x)/(2)) passes through (...

    Text Solution

    |

  20. The value of positive real parameter 'a' such that area of region boun...

    Text Solution

    |