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STATEMENT-1 : lim(x->oo)(log[x])/([x])=0...

STATEMENT-1 : `lim_(x->oo)(log[x])/([x])=0`. STATEMENT-2 : `lim_(x->0)(sqrt(sec^2-1))/x` does not exist. STATEMENT-3: `lim_(x->2)(x-1)^(1/(x-2)) = 1`

A

TTT

B

TTF

C

FTF

D

FFF

Text Solution

Verified by Experts

The correct Answer is:
B
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Statement 1: If lim_(xto0){f(x)+(sinx)/x} does not exist then lim_(xto0)f(x) does not exist. Statement 2: lim_(xto0)((e^(1//x)-1)/(e^(1//x)+1)) does not exist.

Knowledge Check

  • Statement 1: If lim_(xto0){f(x)+(sinx)/x} does not exist then lim_(xto0)f(x) does not exist. Statement 2: lim_(xto0)((e^(1//x)-1)/(e^(1//x)+1)) does not exist.

    A
    Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation for statement 1.
    B
    Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.
    C
    Statement 1 is true, Statement 2 is false
    D
    Statement 1 is false, Statement 2 is true