09Q22 - the rational function R x =& x 2& 3 x x 2&...

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Name: Quiz 2 1. Find the limits: (a) lim x ! 0 3 x 6 2 x 2 2 x 2 + 2 x +1 = (b) lim x !1 x 5 + 2 x x 4 + 3 x = (c) lim x !1 sin x 1 3 x 2 + 1 ± = 2. Let f ( x ) = ² 2 x + 1 x 1 ; x 3 x > 1 : (a) Find the limits lim x 1 x < 1 f ( x ) and lim x 1 x > 1 f ( x ) : (b) Using your answer to (a), explain whether f ( x ) is continuous at x = 1 :
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3. (a) Find the domain, intercepts, horizontal and vertical asymptotes (if any) of
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Unformatted text preview: the rational function R ( x ) = & x 2 & 3 x x 2 & 4 : (b) Sketch the graph of R ( x ) by using your answers in (a)....
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09Q22 - the rational function R x =& x 2& 3 x x 2&...

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