limx→ 0(log xn-[x]/[x]),n ∈ (N [x]denotes thegreatest integer in x not greater than x)

Question

limx→ 0(log xn-[x]/[x]),n ∈ (N [x]denotes thegreatest integer in x not greater than x) (A) has value - 1 (B) has value 0 (C) has value 1 (D) does not exist.

Tardigrade Admin · Accepted Answer

Correct answer is (a) has value - 1

Q. limx→0​[x]logxn−[x]​,n∈(N [x]denotes thegreatest integer in x not greater than x)

has value - 1

has value 0

has value 1

does not exist.

Correct answer is (a) has value - 1

Q. $lim_{x \to 0} \frac{l o g x ^{n} - [ x ]}{[ x ]}, n \in$ (N [x]denotes thegreatest integer in x not greater than x)