Question

Q1.HELLO BRAINLY USERS !!

Let f(x) = x - [x], (where [x] denotes the greatest integer ≤ x) and
\begin{gathered}\sf{g(x) = \lim _{x \to 0} \: \dfrac{ \{f(x) \}^{2n } - 1 }{ \{f(x) \}^{2n} + 1 } } \\ \\ \end{gathered}
g(x)=
x→0
lim
​

{f(x)}
2n
+1
{f(x)}
2n
−1
​

​

then g(x) is equal to?

Options:
A) 0
B) 1
C) -1
D) None of these

\begin{gathered} \\ \end{gathered}
​

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Answer 1

Answer: \begin{gathered}\sf{g(x) = \lim _{x \to 0} \: \dfrac{ \{f(x) \}^{2n } - 1 }{ \{f(x) \}^{2n} + 1 } } \\ \\ \end{gathered}

Let f(x) = x - [x], (where [x] denotes the greatest integer ≤ x) and

Step-by-step explanation: