F x - x ae 1 - x - - 3-e -1 x a-2 e 1 - x - - e -1 x 0 - x- 0 x-0 is differentiable at x-0 then -a- - denotes greatest integers function

The correct option is D 3 [ f( x ) ={ x( a+ 1 /| x | #160; +3.e 1 / x #160; /( a+2 ) #160; ^ 2 1 /| x | #160; e 1 / x #160; #16 ...

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Sum of n Terms

f x = x ae 1 ...

Question

$f (x) = ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ \begin{matrix} x ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ \frac{{a e}^{\frac{1}{| x |}} + {3. e}^{\frac{- 1}{x}}}{(a + 2) e^{\frac{1}{| x |}} - e^{\frac{- 1}{x}}} ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ 0 \end{matrix}, \begin{matrix} x \neq 0 x = 0 \end{matrix}$ is differentiable at $x = 0$ then $[a] =$ __ ([] denotes greatest integers function )

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Similar questions

f (x) = {\begin{matrix} \begin{matrix} \frac{e^{[x] + | x |}}{[x] + | x |}, & x \neq 0 \end{matrix} \begin{matrix} - 1, & x = 0 \end{matrix} \end{matrix}

([.]

),

f (x) = [x], 0 < x < 3

x = 1

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{1 - [x]}{1 + x} & , x \neq 0 1 & , x = 0 \end{matrix}

[.]

f (x)

f (x) = [x], 0 < x < 3

x = 1

x = 2

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)

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