Home
Class 11
MATHS
Among (i) underset(xtooo)limsec^(-1)((x)...

Among (i) `underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(xtooo)limsec^(-1)((sinx)/(x)).` which of the following limit exists?

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

Among (i) lim_(xtooo) sec^(-1)((x)/(sinx))" and "(ii) lim_(xtooo) sec^(-1)((sinx)/(x)).

sin^(-1)(sinx)=x if

Evaluate lim_(xtooo) (sinx)/(x).

Evaluate lim_(xtooo) x^((1)/(x)).

Let lim _(xtooo) (2 ^(x) +a ^(x) +e ^(x))^(1//x)=L which of the following statement (s) is (are) correct ?

Find Lt_(xtooo)((2x+3)/(3x-1)) .

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

If l=lim_(xto-2) (tanpix)/(x+2)+lim_(xtooo) ( (1+1)/(x^2)^2) , then which one of the following is not correct?

Find (i) underset(x to 5)(lim 6) (ii) underset(x to 2)(lim x) (iii) underset(x to 3)(lim [x + 2]) (iv) underset(x to 2)(lim 4x + 2])

Evaluate lim_(xtooo) 2^(x-1)tan((a)/(2^(x))).

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. lim(x->o)[(x^4sin(1/x)+x^2)/(1+|x|^3)]=

    Text Solution

    |

  17. Evaluate the limit: ("lim")(xvecoo)((x+2)/(x+1))^(x+3)

    Text Solution

    |

  18. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  19. Evaluate: ("lim")(x->pi/2)(cosx)^(cosx)

    Text Solution

    |

  20. ("lim")(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals t...

    Text Solution

    |