# aug2609 - Math 1502 D August 26th 2009 1 School of...

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Unformatted text preview: Math 1502 D, August 26th 2009 1 School of Mathematics Math 1502 Georgia Tech Calculus II, Section D Quiz # 1 August 26th 2009 First Name : Last Name : −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 1. Compute the following limits (what method are you using ?) cos2 x = lim 5 x→π/2 1 − sin x ln cos x = x→0 x2 lim n→∞ lim (n2 + 2n)1/n = Math 1502 D, August 26th 2009 2 2. Is the following integral convergent or not ?(give the method of proof) +∞ 1 ln2 x dx x2 3. Give the set of values of α for which the following integral converges ? (Hint : beware of the two limit points !) ∞ 0 dx x1−α (1 + x) ...
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