Home
Class 11
MATHS
If f(x)=(cosx)/((1-sinx)^(1/3)) then (a)...

If `f(x)=(cosx)/((1-sinx)^(1/3))` then (a) `("lim")_(xrarrpi/2)f(x)=-oo` (b) `("lim")_(xrarrpi/2)f(x)=oo` (c) `("lim")_(xrarrpi/2)f(x)=oo` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim(xrarrpi)(x-(22)/(7))

Let f(x)=(x^2-9x+20)/(x-[x]) (where [x] is the greatest integer not greater than xdot Then (A) ("lim")_(x->5)f(x)=1 (B) ("lim")_(x->5)f(x)=0 (C) ("lim")_(x->5)f(x) does not exist. (D)none of these

If f(x)=sqrt((x-sinx)/(x+cos^2x)) , then lim (x->oo)f(x) is

Let f(x)=(log_e(x^2+e^x))/(log_e(x^4+e^2x)) . If lim_(xrarr oo) f(x)=l and lim_(xrarr-oo)f(x)=m , then

lim_(xrarrpi) (sin(pi-x))/(pi(pi-x))

lim_(xrarrpi) (sin(pi-x))/(pi(pi-x))

(i) lim_(xrarrpi) (cos ecx-cotx)/(x) (ii) lim_(xrarr0) (sinx-2sin3x+sin5x)/(x)

lim_(x->oo) (sinx/x) =

lim_(xrarrpi//2)(cos((pi)/(2)sin^(2)x))/(cot((pi)/(2)sin^(2)x)) equals

If f(x)=cos^(-1)(4x^3-3x)and lim_(xto1/2+)f'(x)=a and lim_(xto1/2-)f'(x)=b then a + b+ 3 is equal to ____

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. ("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...

    Text Solution

    |

  2. lim(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx) is

    Text Solution

    |

  3. If f(x)=(cosx)/((1-sinx)^(1/3)) then (a) ("lim")(xrarrpi/2)f(x)=-oo (b...

    Text Solution

    |

  4. lim(x->-oo)(x^2*tan(1/x))/(sqrt(8x^2+7x+1)) is

    Text Solution

    |

  5. T1 is an isosceles triangle in circle C. Let T2 be another ísoscele...

    Text Solution

    |

  6. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

    Text Solution

    |

  7. ("lim")(xvecoo)[(e/(1-e))(1/e-x/(1+x))]^xi s e^((1-e)) (b) e^(((1-e)...

    Text Solution

    |

  8. ("lim")(x -> 0)((1+tanx)/(1+sinx))^(cos e cx) is equal to (a)e (b...

    Text Solution

    |

  9. ("lim")(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) ...

    Text Solution

    |

  10. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  11. "F i n d"(dy)/(dx)"if"y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

    Text Solution

    |

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

    Text Solution

    |

  13. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

    Text Solution

    |

  14. Find (dy)/(dx) for the functions: y=(x+sinx)/(x+cosx)

    Text Solution

    |

  15. Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(...

    Text Solution

    |

  16. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

    Text Solution

    |

  17. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  18. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  19. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)),="" then="" find="" (dy)/(d...

    Text Solution

    |

  20. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2))^-1...

    Text Solution

    |