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Sum of n Terms

let the funct...

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let the function f be defined by f(x)=x/(e^{-x} -1)+x/2+5 then f(x) is (evrn function,odd function,periodic function

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f

be a real valued function defined by

f (x) = \frac{e^{x} - e^{- | x |}}{e^{x} + e^{| x |}}

, then range of

f (x)

Q. Let a function

f (x)

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{x^{2} - 4}{x - 2} & : & x \neq 2 4 & : & x = 2 \end{matrix}

Then check the continuity of the function

f (x)

x = 2

f : R - {0} \to R

be a function defined by

f (x) = x - \frac{1}{x} .

f

Q. Let a function

f : (0, \infty) \to (0, \infty)

f (x) = ∣ ∣ ∣ 1 - \frac{1}{x} ∣ ∣ ∣

f

f

be the function defined by

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \begin{matrix} \frac{x^{2} - 1}{x^{2} - 2 | x - 1 | - 1}, & x \neq 1 \end{matrix} \begin{matrix} \frac{1}{2}, & x = 1 \end{matrix} \end{matrix}

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