M408D Exam 1 d - 408D THE END A(60 points Compute the...

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Unformatted text preview: 408D THE END A)(60 points) Compute the following limits. Show work: I won’t give any credit for answers only. 1 1 − x2 1) lim x→1 x − 1 2) lim n→∞ 1 n 1 n 3) lim x − tan x x→0 x sec x 1 x 4) lim+ xln x x→0 2n ln 1 + 5) lim x→∞ x 6) lim n→∞ 1 1− n B)(40 points) Do the following series converge or diverge? Why? Show work: I won’t give credit for answers only. ∞ 7) k=1 k+1 2k ∞ 8) k=1 2k k ! kk ∞ 9) k=1 1 k 2 + ln k ∞ 10) k=1 k (k + 1)k ...
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