calc chp 2.3.pdf - Denise Mbenza Assignment Sect2.3...

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Denise Mbenza ufv-math111-ab1-ab3-winter2019 Assignment Sect2.3 Homework due 01/27/2019 at 11:59pm PST 1. (1 point) Find the following limit. lim x π 5 - cot ( 5 x ) Limit: help (limits) Answer(s) submitted: (incorrect) Correct Answers: -infinity 2. (1 point) Find the following limit. lim x →- 7 - x + 2 x + 7 Limit: help (limits) Answer(s) submitted: (incorrect) Correct Answers: infinity 3. (1 point) A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. For example, the function f ( x ) = - 3 ( x + 2 ) x 2 + 4 x + 4 has a vertical asymptote at x = - 2. Find each of the following limits. lim x →- 2 - - 3 ( x + 2 ) x 2 + 4 x + 4 = help (limits) lim x →- 2 + - 3 ( x + 2 ) x 2 + 4 x + 4 = help (limits) lim x →- 2 - 3 ( x + 2 ) x 2 + 4 x + 4 = help (limits) Answer(s) submitted: (incorrect) Correct Answers: infinity -infinity DNE 4. (1 point) Evaluate the following limits: 1. lim x 5 2 ( x - 5 ) 6 = 2. lim x 3 + 2 x - 3 = 3. lim x 0 1 x 2 ( x + 7 ) = 4. lim x 5 - 2 ( x - 5 ) 3 = Answer(s) submitted: (incorrect) Correct Answers: infinity infinity infinity -infinity 5. (1 point) Evaluate the following limits: 1. lim x ( 3 4 ) + - 40 x 3 - 4 x = 2. lim x ( 3 4 ) - - 40 x 3 - 4 x =
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