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Acceleration

if 0^x=0, x^0...

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if 0^x=0, x^0=1, then what is 0^0?

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f (x) = ⎧ ⎪ ⎪ ⎨ ⎪ ⎪ ⎩ \begin{matrix} x (\frac{e^{1 / x} - e^{- 1 / x}}{e^{1 / x} + e^{- 1 / x}}), \begin{matrix} x \neq 0 x = 0 \end{matrix} 0 \end{matrix} ⎞ ⎟ ⎟ ⎠

x = 0, f (x)

f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} x ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ \frac{{a e}^{\frac{1}{| x |}} + {3. e}^{\frac{- 1}{x}}}{(a + 2) e^{\frac{1}{| x |}} - e^{\frac{- 1}{x}}} ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ 0 \end{matrix}, \begin{matrix} x \neq 0 x = 0 \end{matrix}

is differentiable at

x = 0

[a] =

__ ([] denotes greatest integers function )

2 sin x^{0} - 1 = 0

x^{0}

is an acute angle. If

sin x^{0}

\frac{1}{m}

m

F (x) = \int_{0}^{x} \frac{cos t}{(1 + t^{2})} d t, 0 \leq x \leq 2 π

u_{n} = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & 1 & 0 & 0 & . . . & . . . & 0 - 1 & a_{2} & 1 & 0 & . . . & . . . & 0 0 & - 1 & a_{3} & 1 & . . . & . . . & 0 . . . & . . . & . . . & . . . & . . . & . . . & . . . 0 & 0 & . . . & . . . & - 1 & a_{n - 1} & 1 0 & 0 & . . . & . . . & 0 & - 1 & a_{n} \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣

u_{n} = a_{n} u_{n - 1} + u_{n - 2}

If true enter 1 else enter 0

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