Home
Class 11
MATHS
Evaluate: ("lim")(xrarr0) (sin[cosx])/(...

Evaluate: `("lim")_(xrarr0)` `(sin[cosx])/(1+[cosx])([dot]` denotes the greatest integer function).

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

Evaluate lim_(xto0) (sin[cosx])/(1+[cosx]) ( [.] denotes the greatest integer function).

Evaluate: ("lim")_(xrarr0)(cosx)^(cotx)

Evaluate the limit ("lim")_(xrarr0)(sin3x)/x

lim_(xrarr0) [(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the greatest integer function)

The value of lim_(xto0)(sin[x])/([x]) (where [.] denotes the greatest integer function) is

lim_(x rarr0)(sin^2x)/(1-cosx)

Evaluate : ("lim")_(xrarr2^+) ([x-2])/("log"(x-2)) , where [.] represents the greatest integer function.

lim_(xrarr oo) (logx)/([x]) , where [.] denotes the greatest integer function, is

The value of lim_(xrarr(pi)/(2))([(x)/(3)])/(ln(sinx)) (where, [.] denotes the greatest integer function)

Evaluate: lim_(xrarr0) (tan x-sin x)/(x^(3))

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate : ("lim")(xrarr2^+) ([x-2])/("log"(x-2)) , where [.] repres...

    Text Solution

    |

  2. The value of the limit ("lim")(xvec0)(a^(sqrt(x))-a^(1sqrt(x)))/(a^(sq...

    Text Solution

    |

  3. Evaluate: ("lim")(xrarr0) (sin[cosx])/(1+[cosx])([dot] denotes the g...

    Text Solution

    |

  4. lim(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

    Text Solution

    |

  5. Consider the following graph of the function y=f(x)dot Which of the fo...

    Text Solution

    |

  6. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  7. If ("lim")(x->a)[f(x)+g(x)]=2a n d ("lim")(x->a)[f(x)-g(x)]=1, then f...

    Text Solution

    |

  8. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

    Text Solution

    |

  9. Evaluate "lim"(x->0)(3x+|x|)/(7x-5|x|)

    Text Solution

    |

  10. The value of lim(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is 1/2 (b) -...

    Text Solution

    |

  11. lim(xvecoo)(e^(1/x^2)-1)/(2tan^-1(x^2)-pi) is equal to (a) 1 (b) -...

    Text Solution

    |

  12. Evaluate: lim(x->oo) (1+1/(a+bx))^(c+dx) , where a,b,c and dare positi...

    Text Solution

    |

  13. If x1=3 and x(n+1)=sqrt(2+xn),ngeq1,t h e n""("lim")(xrarroo)xn is (...

    Text Solution

    |

  14. Evaluate: ("lim")(xrarroo)(1+1/x)^x

    Text Solution

    |

  15. ("lim")(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (...

    Text Solution

    |

  16. Evaluate: ("lim")(xrarr0)((a^x+b^x+c^x)/3)^(2/x);(a , b , c >0)

    Text Solution

    |

  17. ("lim")(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to ...

    Text Solution

    |

  18. If f(n)=underset(xto0)lim{(1+"sin"(x)/(2))(1+"sin"(x)/(2^(2)))...(1+"s...

    Text Solution

    |

  19. If lim(x->2^-) (ae^(1/|x+2|)-1)/(2-e^(1/(|x+2|)))= lim(x->2^+)sin ((x^...

    Text Solution

    |

  20. The population of a country increases by 2% every year. If it increase...

    Text Solution

    |