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MATH1610 Test 1 Spring 2021
1. Evaluate each of the following limits if it exists. If it does not exist, explain why.
(a) (8 points) lim
x1
x1
x2+5x6
(b) (13 points) lim
x→−1
x2+32
x+1
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MATH1610 Test 1 Spring 2021
(c) (10 points) lim
x0
|x|
x
2. (10 points) Can we apply limit laws to lim
x0
x4sin π
x? State your reason and show
how lim
x0
x4sin π
x
=0.
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