Home
Class 11
MATHS
Evaluate: "lim"(x->0)(3^(2x)-2^(3x))/x...

Evaluate: `"lim"_(x->0)(3^(2x)-2^(3x))/x`

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

Evaluate lim_(xto0)(3^(2x)-2^(3x))/(x).

Evaluate : lim_(xto 0)(3^(x)-2^(x))/(tanx)

Evaluate : lim_(x to 0 ) (3^(x) -2^(x))/(tanx)

Evaluate: lim_(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)dot

Evaluate: lim_(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)dot

Evaluate: (lim)_(x->1)3x^2+4x+5

Evaluate: lim_(x->0)(tan2x-x)/(3x-sinx)

Evaluate the following limits : lim_(x to 0) (3^(2x)-2^(3x))/x

Evaluate: lim_(xrarr0) ((3+x)^(1//2)-(3-x)^(1//2))/(x)

Evaluate: (lim)_(x->2)\ (x-2)/(x3-3 3)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: "lim"(x->0)(10^x-2^x-5^x+1)/(xtanx)

    Text Solution

    |

  2. ("lim")(xvec1)((x^4+x^2+x+1)/(x^2-x+1))^(1-"cos"(x+1))/((x+1)^(2))i se...

    Text Solution

    |

  3. Evaluate: "lim"(x->0)(3^(2x)-2^(3x))/x

    Text Solution

    |

  4. ("lim")(xvec2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(...

    Text Solution

    |

  5. Evaluate: ("lim")(xvec0)(log(5+x)-"log"(5-x))/x

    Text Solution

    |

  6. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  7. Let pn=a^(P(n-1))-1,AAn=2,3,... ,a n d l e tP1=a^x-1, where a in R^+...

    Text Solution

    |

  8. Column I ([.] denotes the greatest integer function), Column II ""(...

    Text Solution

    |

  9. Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x<1,x^2-2x-2,1lt=x<2, ...

    Text Solution

    |

  10. Evaluate: lim(x->oo) (x+7sinx)/(-2x+13) using sandwich theorem.

    Text Solution

    |

  11. If f(x)={(x-|x|)/x ,x!=0, 2,x=0, show that lim(xrarr0) f(x) does not e...

    Text Solution

    |

  12. The reciprocal of the value of: ("lim")(nvecoo)(1-1/(2^2))(1-1/(3^2))(...

    Text Solution

    |

  13. Show that ("lim")(xrarr0) (e^(1/x)-1)/(e^(1/x)+1) does not exist

    Text Solution

    |

  14. If f(x)={(x^2+2,,,xge2),(1-x ,,,xlt2):} ; g(x)={(2x,,,xgt1),(3-x ,,,...

    Text Solution

    |

  15. Evaluate : ("lim")(xrarr2^+) ([x-2])/("log"(x-2)) , where [.] repres...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |