M408D Exam 1 a - Exam 1 a Show Work 1(40 points Compute the...

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Unformatted text preview: Exam 1 a Show Work!! 1)(40 points) Compute the following limits a) lim x→∞ √ x2 + 1 x2 b) lim+ x ln x x→0 1 c) lim x→0+ √ x ln(x) (n − 2) d) lim n→∞ n2 n 2n 2)(60 points) Do the following converge or diverge? Why? ∞ a) n=1 (−1)n n n+1 ∞ b) n=3 n (ln n)n √ ∞ c) n=1 n−1 n+3 d) 1 n2 + ln n n=1 ∞ ...
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