Home
Class 11
MATHS
If lim(x→0) ​ (x^asin^b x)/(s...

If `lim_(x→0) ` ​ `(x^asin^b x)/(sin(x^c))`, where a , b , c in R ~{0},exists and has non-zero value. Then, `

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_( x to 0) (sin (pi sin^(2)x))/x^(2) =

lim_(x->0) (sin x /x)

lim_(x->0)(sin^2x)/x

The value of lim_(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is (a)0 (b) -1 (c) 1 (d) 2

Evaluate lim_(x to 0) (tan(sgn(x)))/(sgn(x)) if exists.

The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0 , is

If int (bx cos4x - asin 4x )/x^2 dx = (asin4x)/x + c then a, b may be

If lim_(x to 0) (2a sin x-sin2x)/(tan^(3)x) exists and is equal to 1, then the value of a is

The value of lim_(xrarr0)(sin5x)/(tan 3x) is

If lim_(x rarr 0)(((a-n)nx-tanx)sinnx)/x^2=0 , where n is non zero real number, then a is equal to:

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 ...

    Text Solution

    |

  2. Evaluate lim(xto0) ((1+x)^(1//x)-e+(1)/(2)ex)/(x^(2)).

    Text Solution

    |

  3. If lim(x→0) ​ (x^asin^b x)/(sin(x^c)), where a , b , c in ...

    Text Solution

    |

  4. Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

    Text Solution

    |

  5. ("lim")(x->oo){(x^3+1)/(x^2+1)-(a x+b)}=2,t h e n (a)a=1,b=1 (...

    Text Solution

    |

  6. Evaluate underset(xtooo)lim(log(e)x)/(x)

    Text Solution

    |

  7. The value of lim(x->1)(2-x)^(tan((pix)/2)) is (a)e^(-2/pi) (b) e^...

    Text Solution

    |

  8. Evaluate the following limits using sandwich theorem: lim(x->oo)([x])...

    Text Solution

    |

  9. lim(x->0) (sinx^n)/((sinx)^m),(mltn), is equal to (a) 1 (b) 0 (c) n...

    Text Solution

    |

  10. If (x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3) holds for a c...

    Text Solution

    |

  11. lim(x->oo)(2sqrt(x)+3root3x+4root4x+.......+nrootnx)/(sqrt((2x-3))+roo...

    Text Solution

    |

  12. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

    Text Solution

    |

  13. lim(y->0)((x+y)sec(x+y)-xsecx)/y is equal to (a) secx(xtanx+1) (b) x...

    Text Solution

    |

  14. Evaluate underset(ntooo)lim(1)/(1+n^(2))+(2)/(2+n^(2))+...+(n)/(n+n^(2...

    Text Solution

    |

  15. If L=lim(x->2) ((10-x)^(1/3) -2)/(x-2), then the value of |1/(4L)| ...

    Text Solution

    |

  16. Suppose that f is a function such that 2x^2lt=f(x)lt=x(x^2+1) for all ...

    Text Solution

    |

  17. If L=lim(xto0) (e^(-x^(2)//2)-cosx)/(x^(3)sinx), then find the value o...

    Text Solution

    |

  18. If [dot] denotes the greatest integer function, then find the value of...

    Text Solution

    |

  19. If lim(x->oo) f(x) exists and is finite and nonzero and if lim(x->oo)...

    Text Solution

    |

  20. If 3-((x^(2))/(12))lef(x)le3+((x^(3))/(9)) in the neighborhood of x=0,...

    Text Solution

    |