Question
1. Calculate the limit of f(x) = x/x as x tends to 0.
2. Calculate the limit of
f(x) = (x^2-1)/(x-1) as x tends to 1.
2. Calculate the limit of
f(x) = (x^2-1)/(x-1) as x tends to 1.
Answers
Steve
#1: well, f(x) = 1 for every x≠0
similarly for #2,
f(x) = (x+1) for every x≠1
use your favorite online grapher to show that there is just a hole at the point in question. The limit is clear.
similarly for #2,
f(x) = (x+1) for every x≠1
use your favorite online grapher to show that there is just a hole at the point in question. The limit is clear.