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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

x→1

x−1

x2+5x−6

(b) (13 points) lim

x→−1

√x2+3−2

x+1

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MATH1610 Test 1 Spring 2021

(c) (10 points) lim

x→0

|x|

x

2. (10 points) Can we apply limit laws to lim

x→0

x4sin π

x? State your reason and show

how lim

x→0

x4sin π

x

=0.

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