It helps to look at the graph of
y = - x^2/(x+3)
http://www.wolframalpha.com/input/?i=plot+y+%3D+-(x%5E2)%2F(x%2B3)
look at the second graph, the first one is a close-up of the second.
The "forbidden" value is x = -3
now look at just a bit to the right of x = -3
What does the graph do ?
What does the graph do just a bit to the left of -3 ?
you might also want to use your calculator and evaluate -x^2/(x+3) when x = -3.01 and -2.99 as an example
for x = -3.01,
y = + 906.01
now try x = -2.999
y = -8994.001
use you calculator to get even closer to -3 from both sides
Find the limit
f(x) = -(x^2)/(x+3)
a) lim f(x)
x-3^-
b) lim f(x)
x-3^+
c) lim f(x)
x-3
I know that a is dne because of the graph and that b is -infinity. And that c is dne because they are not the same. But I do not know how to do this algebraically. Thank you
4 answers
AB ☍ CD
AB ▒ CD
AB ∥ CD