Question

Use the functions f and g defined by the graphs as shown to determine the following limits:

 

 

Comments

There are no graphs shown!

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Thank you.

(a) Let's see what happens as x→1. f(1)=2 and g(1)=0 and there's no discontinuity. The limit of the sum is the same as the sum of the limits, so the answer is 2+0=2.

(b) f(2)=1, g(2)=3/4, so f/g=4/3 as x→2 because the graphs are continuous. The answer is 4/3.

Answer 1

(a) Let's see what happens as x→1. f(1)=2 and g(1)=0 and there's no discontinuity. The limit of the sum is the same as the sum of the limits, so the answer is 2+0=2.

(b) f(2)=1, g(2)=3/4, so f/g=4/3 as x→2 because the graphs are continuous. The answer is 4/3.