1007Test2_09sol

# 1007Test2_09sol - Test 2 Wednesday MATH 1007G Last Name...

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Unformatted text preview: Test 2, Wednesday February 11, 2009 MATH 1007G Last Name :_________________ First Name:_______________ ID #:____________________ Total marks:36 Total time: 50 minutes No Calculators are allowed. Show your work. Question 1. Find the following limits, if they exist. If the limit does not exist, determine whether it is + ∞ ,- ∞ or neither. a) [3.5] lim lim ( ) lim ( ) lim ( ) . x x x x x x x x x x x x x x x x x → → → →- +- =- +- =-- =- = = 1 3 2 1 2 1 2 1 2 1 2 1 1 1 1 1 10 0 b) [3.5] lim lim lim x x x x x x x x x x x x x x →-∞ →-∞ →-∞--- =--- =--- = - 1 2 3 1 2 3 1 1 1 2 3 1 2 2 2 2 2 2 2 2 2 c) [3.5] lim lim . lim ( ) lim x x x x x x x x x x x x x x → → → → +- = +- + + + + = +- + + = + + = 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 d) [3.5] lim [ln( ) ln( )] lim ln ( ) ln lim ( ) x x x x x x x x x →∞ →∞ →∞ +- = + = + 2 2 2 2 2 2 1 2 1 2 1 2 = + = +...
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1007Test2_09sol - Test 2 Wednesday MATH 1007G Last Name...

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