limits

Question

$\lim_{x \to 0}x\log _x a$

$(A)0$                                                                                        $(B)\log_ae$

$(C)1$                                                                                        $(D)\log a$

Comments

i am getting ans 0 where key given is log a.please help..

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i think given answer is wrong.

Answer 1

$\lim_{x \to 0}x\log _x a$

put $x=0$

$\lim_{x \to 0}0 \times \log _0 a$

$=0$

Hence,Option(A)$0$ should be the correct choice.

Comments

log a is a constant so a can take any value except 0 becoz it will give infinity. as u r saying i think i m getting it now.

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base in this question doesn't matter. but it is not in $\frac{0}{0}$ form.

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everyone check now. Thanks !