quiz4solutions

# quiz4solutions - QUIZ 4(3.2 3.3 3.5 3.7 MAT265 Summer A...

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QUIZ 4 (3.2, 3.3, 3.5, 3.7) MAT265 - Summer A 2013 NAME MTWThF 8:35am-9:55am SCORE Closed notes/book. Calculators OK. Circle your answers. Staple extra sheets. Show and explain your work. No work = no credit. 1. (30 pts.) Let f ( x ) be a function. Then (a) f ( x ) is one-to-one if x 1 6 = x 2 then f ( x 1 ) 6 = f ( x 2 ) (b) If f - 1 exists, then domain of f - 1 = range of f range of f - 1 = domain of f . 2. (30 pts.) Evaluate (a) e ln 2 = 2 . (b) ln e = 1 . (c) (sin(2

Unformatted text preview: x )) (sin(2 x )) = cos(2 x )(2 x ) = cos(2 x )(2 x ) ln(2) . 3. (40 pts.) Use L’Hospital’s rule to ﬁnd (a) lim x → 1 ln x x-1 lim x → 1 ln x x-1 = lim x → 1 1 /x 1 = 1 1 = 1 . (b) lim x → + x ln x lim x → + x ln x = lim x → + ln x 1 x = lim x → + 1 x-1 x 2 = lim x → + (-x ) = 0 ....
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• Fall '08
• Lin
• Calculus, lim, 40 pts, 30 pts, lim x ln

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