Home
Class 12
MATHS
Find all point of discountinuity of t...

Find all point of discountinuity of the function `f(t) = (1)/(t^(2)+t-2)`, where `t = (1)/(x-1)`.

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

Find all point of discontinuity of the function f(t)=1/(t^2+t-2), where t=1/(x-1)

Find all point of discontinuity of the function f(t)=1/(t^2+t-2), where t=1/(x-1)

If the function f(x) = 1/(x+2) , then find the points of discountinuity of the composite function y = f{f(x)} .

The eccentricity of the conic x=3((1-t^(2))/(1+t^(2))) and y=(2t)/(1+t^(2)) is

Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be definded as : F(x)=int_(1)^(x)t^2 g(t)dt, where g(t) = int_(1)^(t)f(u)du. Then for the function F, the point x=1 is

Find the locus of a point whose coordinate are given by x = t+t^(2), y = 2t+1 , where t is variable.

If x=(2t)/(1+t^2) , y=(1-t^2)/(1+t^2) , then find (dy)/(dx) .

Let f(x)=int_(1)^(x)(3^(t))/(1+t^(2))dt , where xgt0 , Then

(i) If f(x) = int_(0)^(sin^(2)x)sin^(-1)sqrt(t)dt+int_(0)^(cos^(2)x)cos^(-1)sqrt(t) dt, then prove that f'(x) = 0 AA x in R . (ii) Find the value of x for which function f(x) = int_(-1)^(x) t(e^(t)-1)(t-1)(t-2)^(3)(t-3)^(5)dt has a local minimum.

Find the interval of increase or decrease of the f(x)=int_(-1)^(x)(t^(2)+2t)(t^(2)-1)dt

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Prove that the function f(x)={x/(|x|+2x^2),x!=0 and k ,x=0 remains d...

    Text Solution

    |

  2. Show that f(x)={((sin3x)/(tan2x) ,, if x<0),(3/2 ,, if x=0),((log(1+3...

    Text Solution

    |

  3. Find all point of discountinuity of the function f(t) = (1)/(t^(2)...

    Text Solution

    |

  4. Given the function f(x)=1/(x+2). Find the points of discontinuity of t...

    Text Solution

    |

  5. If f(x)=|x-a|varphi(x), where varphi(x) is continuous function, then (...

    Text Solution

    |

  6. Let f(x)=(log(1+x/a)-log(1-x/b))/x ,x!=0. Find the value of f at x=0...

    Text Solution

    |

  7. Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 . The value which should be as...

    Text Solution

    |

  8. The function f(x)=(x^3+x^2-16 x+20)/(x-2) is not defined for x=2. In o...

    Text Solution

    |

  9. The value of b for which the function f(x)={5x-4,0xlt=1 , 4x^2+3b x...

    Text Solution

    |

  10. If f(x)=1/(1-x), then the set of points discontinuity of the function ...

    Text Solution

    |

  11. If the function f(x) defined by f(x)=(log(1+3x)-"log"(1-2x))/x , x!...

    Text Solution

    |

  12. Show that f(x)=5x-4 , 0< x < 1 f(x)=4x^3-3x , 1< x <2 continuous a...

    Text Solution

    |

  13. If f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0 is continuous...

    Text Solution

    |

  14. If f(x)=(1-sinx)/((pi-2x)^2),when x!=pi/2 and f(pi/2)=lambda, the ...

    Text Solution

    |

  15. The value of k which makes f(x)={sinx/x ,x!=0, and k , ...

    Text Solution

    |

  16. Show that the function f(x)=2x-|x| is continuous at x=0.

    Text Solution

    |

  17. If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at e...

    Text Solution

    |

  18. Let f(x)={(x-4)/(|x-4|a+b)+a ,x<0 (x-4)/(|x-4|)+b ,x >0 Then, f(x) i...

    Text Solution

    |

  19. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|, x!=1,2 & 6, x=1 & 12 , x = 2 t...

    Text Solution

    |

  20. Let f (x)= {((1+ax )^(1//x), x lt 0),( ((x+c)^(1//3)-1)/((x+1)^(1//2) ...

    Text Solution

    |