Question

What are the limits of:

1) lim (f(x)+g(x))
x->7-

2) lim (f(x)+14g(x))
x->7+

How do you solve this?
graph attached inside :)

Answer 1

graph!!

Answer 2

lim (f(x)+g(x)) = lim f(x) + lim g(x)

so add up the value of each function, on the left of x=7

Answer 3

(7, 9) + (7, 10) ?

so (14, 19) ?

or are they asking for 7 + 7= 14 ?

Answer 4

f(x) is the same thing as y, it's not a point.

Answer 5

ohh so 9+10 ? = 19?

Answer 6

ooh yay!! :) so for the second one, would it be like this?

10+14(2)= 10+28= 38 ?

Answer 7

^don't think you found the limit on the right of 7, for f(x)

Answer 8

oh oops.. 12+ 2(14)=12+28=40 ?

Answer 9

yep

Answer 10

okay awesome!! thank you!! :)