Home
Class 12
MATHS
lim(xto-pi)(|x+pi|)/(sin x) is...

`lim_(xto-pi)(|x+pi|)/(sin x)` is

A

is equal to `-1`

B

is equal to 1

C

is equal to `pi`

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr -pi) |x+pi|/sinx is

lim_(xto1) (1-x^(2))/(sin2pix) is equal to

If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f((pi)/(2))=-(3pi^(2))/(4) , then lim_(xto -pi^+) (f(x))/(sin(sinx)) is equal to

Lim_(x to pi)(1+sin x)/(x - pi)

Given, lim_(xto0) (sin3x)/(sin7x) .

Evaluate: lim_(xto0)(tan8x)/(sin3x)

Evaluate the following limits : lim _( xto pi) ( sin x)/(pi - x)

Evaluate the following limits : Lim_( xto pi/2) (1- sin x)/(x cos x)

lim_(xto0)(|sin x|)/x is equal to :

The value of lim_(x to (pi)/(4)) ("sin" x - cos x)/((x - (pi)/(4))) equals

OBJECTIVE RD SHARMA ENGLISH-LIMITS-Exercise
  1. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0. Then ...

    Text Solution

    |

  2. If f(x)={(xsin,((1)/(x)),xne0),(0,,x=0):} Then, lim(xrarr0) f(x)

    Text Solution

    |

  3. lim(xto-pi)(|x+pi|)/(sin x) is

    Text Solution

    |

  4. If lim(x->oo) (sqrt(x^2-x+1)-ax-b)=0 then the value of a and b are giv...

    Text Solution

    |

  5. lim(xto1) (sum(r=1)^(n)x^(r)-n)/(x-1) is equal to

    Text Solution

    |

  6. lim(x->pi/4)(2sqrt(2)-(cosx+sinx)^3)/(1-sin2x)=

    Text Solution

    |

  7. The value of lim(n->oo)(1.sum(r=1)^n(r)+2.sum(r=1)^(n-1)(r)+3sum(r=1)^...

    Text Solution

    |

  8. The value of lim(xtooo) {(1)/(3)+(2)/(21)+(3)/(91)+...+(n)/(n^4+n^2+1...

    Text Solution

    |

  9. The value lim(xrarr pi//2)(sinx)^(tanx), is

    Text Solution

    |

  10. The value of lim(xrarroo) (5^(x+1)-7^(x+1))/(5^x-7^x),is

    Text Solution

    |

  11. The value of lim(xrarr3)(3^x-x^3)/(x^x-3^3), is

    Text Solution

    |

  12. lim(n->oo)[log(n-1)(n)logn(n+1)*log(n+1)(n+2).....log(n^k-1) (n^k)] i...

    Text Solution

    |

  13. The value of underset(mtooo)lim("cos"(x)/(m))^(m) is

    Text Solution

    |

  14. The value of lim(xrarroo)(sqrt(n^2+1)+sqrt(n))/((n^4+n)^(1/4)+4sqrt(n)...

    Text Solution

    |

  15. The value of lim(xrarr0) (x^2sin((1)/(x)))/(sinx), is

    Text Solution

    |

  16. If l=lim(xto-2) (tanpix)/(x+2)+lim(xtooo) ( (1+1)/(x^2)^2), then which...

    Text Solution

    |

  17. The value of lim(nto oo)(sqrt(n^(2)+n+1)-[sqrt(n^(2)+n+1)]) where [.] ...

    Text Solution

    |

  18. lim(xto oo) (1^2.n+2^2.(n-1)+3^2.(n-2)+......+n^2.1)/(1^3+2^3......+n^...

    Text Solution

    |

  19. lim(x->oo)cot^(-1)(x^(-a)loga x)/(sec^(-1)(a^xlogx a)),(a >1)is equal ...

    Text Solution

    |

  20. Let a= min { x^2+2x+3:x in R}and b=lim(x to0) (sin xcos x) /(e^x-e^-x...

    Text Solution

    |