MAT016A MT1 W10 Key Temple(2)

MAT016A MT1 W10 Key - MIDTERM EXAM I Math 16A Temple-Winter 2010 Print your name section number and put your signa ture on the upper right-hand

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Unformatted text preview: MIDTERM EXAM I Math 16A Temple-Winter 2010- Print your name, section number and put your signa- ture on the upper right-hand corner of this exam. Write only on the exam.- Show all of your work, and justify your answers for full credit. SCORES #1 #2 #3 #4 #5 #6 #7 #8 TOTAL: 1. Determine the following limits (simplify answer): (a) (6 pts) lim x → 2 r x 2- 4 x- 2 (Hint: Factor) lim x → 2 v u u t x 2- 4 x- 2 = lim x → 2 v u u t ( x- 2)( x + 2) x- 2 = lim x → 2 v u u t ( x + 2) 1 = √ 4 = 2 (b) (6 pts) lim x → √ x +2- √ 2 4 x (Hint: Conjugate) lim x → √ x + 2- √ 2 4 x = lim x → √ x + 2- √ 2 4 x · √ x + 2 + √ 2 √ x + 2 + √ 2 = lim x → x + 2- 2 4 x ( √ x + 2 + √ 2) = lim x → 1 4( √ x + 2 + √ 2) = 1 5 √ 2 = √ 2 10 (No simplification required past 1 5 √ 2 .) 2. Determine the following limits: (c) (6 pts) lim x →∞ 2 x 5 +3 x- 4 3 x 5- 7 (Hint: Divide by highest power)...
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This note was uploaded on 10/22/2010 for the course MAT 16A taught by Professor Gravner during the Fall '09 term at UC Davis.

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MAT016A MT1 W10 Key - MIDTERM EXAM I Math 16A Temple-Winter 2010 Print your name section number and put your signa ture on the upper right-hand

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