Find-the-vertical-asymptots-of-f-x-tan-pi-2x-2-in-0-4-

Question Number 213841 by mnjuly1970 last updated on 18/Nov/24

F i n d t h e v e r t i c a l a s y m p t o t s

o f, f (x) = \tan (\frac{π}{2 x + 2}) i n

[0, 4]

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Answered by efronzo1 last updated on 18/Nov/24

Let x = c be a vertical asymptot

\lim_{x \to c} \tan (\frac{π}{2 x + 2}) = \infty

it follow that \frac{π}{2 x + 2} = \frac{π}{2} or \frac{π}{2 x + 2} = \frac{3 π}{2}

\Rightarrow 2 x + 2 = 2; x = 0

\Rightarrow 2 x + 2 = \frac{2}{3}; x < 0

Commented by mnjuly1970 last updated on 18/Nov/24