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lim(x rarr 0) [(10^(x)-2^(x)-5^(x)+1)/(x...

`lim_(x rarr 0) [(10^(x)-2^(x)-5^(x)+1)/(x . tan x)] =`

A

log 2

B

(log 2).(log 5)

C

(log 2)/(log 5)

D

log 10

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • lim_(x rarr 0) (3^(x)-2^(x))/x=

    A
    (2/3)
    B
    log (3/2)
    C
    1
    D
    0

  • lim_(x rarr 0) (1-ax)^(1/x) =

    A
    `e^(-a)`
    B
    e
    C
    `e^(a)`
    D
    1

  • lim_(x rarr 0) (1+ax)^(b/x)=

    A
    `e^(ab)`
    B
    `e^(a+b)`
    C
    `e^(a^(b))`
    D
    e

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