Fx-x2-4x-2 x- 2 4 x-2- discuss continuity at f2

lim _x→ 2^+=x^2 4x 2 lim _x → 2^+(x 2)(x+2)x 2 2+2=4 lim _x→ 2^ =x^2 4x 2 lim _x → 2^ (x 2)(x+2)x 2 2+2=4 f(2)=2+2=4 ...

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Theorems for Continuity

fx=x2-4x-2 x...

Question

$f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{x^{2} - 4}{x - 2} x \neq 2 4 x = 2 \end{matrix}$ discuss continuity at $f (2)$

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f (x) = \frac{x^{3} - 64}{\sqrt{x^{2} + 9 - 5}}

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= 10

x = 4

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= 2 x + 5

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= x^{2} - 5

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x = 1, 3.

f (x) = \frac{2^{x + 2} - 16}{4^{x} - 16}

x = 2

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f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{x^{3} + x^{2} - 16 x + 20}{(x - 2)^{2}} & i f x \neq 2 k & i f x = 2 \end{matrix}

f (x)

x = 2

f (2) =

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