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lim(xto0+)(x^n lnx),ngt0...

`lim_(xto0+)(x^n lnx),ngt0`

A

does not exist

B

exists and is zero

C

exists and is 1

D

exists and is `e^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • lim_(xto0)(sinx)^(2tanx)=

    A
    2
    B
    1
    C
    0
    D
    does not exist

  • The value of lim _(xto0) (xe ^(x)- log (1+x))/(x ^(2)) is equal to-

    A
    `3/2`
    B
    `-3/2`
    C
    `1/2`
    D
    `-1`

  • The value of lim _(xto0) (tan x-sin x)/(x ^(3)) is equal to-

    A
    0
    B
    1
    C
    2
    D
    `1/2`

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    Explore conceptually related problems

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    Evaluate lim_(xto0) (a^(tanx)-a^(sinx))/(tanx-sinx),agt0

    prove that, If m , n in N ,("lim")_(xto0)(sinx^n)/((sinx)^m)i s (a) 1, if n=m (b) 0, if n>m

    Prove that: lim_(xto0)(p^(x)-q^(x))/(tanx)=log"(p)/(q)

    Evalaute lim_(xto0) (x2^(x)-x)/(1-cosx)

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