Class notes APPM 1350 1.6

1.6 Limits Involving In nity
Ex.
NA
y=farl
kim fax) = 00 Lim - fax) = 00
x=2-fax.
Tim
x+2+f(x)=-8
VA @ x=-1, 2
Def. If the values of fat can be
made arbitrarily large by taking
x suf ciently dove to a then
line
Xixa f(x)=00
* Limit ONE but they DNG
in a speci c way
= f(x) has a
Def: If kina mar f(x) to or line fag=100, then
asymptote at x=α (same as in nite is continuity)
vertick
ал
Def: Let f, be a function de ned on (u, ∞o). If f(x) con
be made corbaitrarily close to L by taking ix suf ciently large,
then lim no =L
Further, yoh is a horizontal asymptote
ек
ex 3-S-
×9018
y= ŕ Lim
I'm
Lim 3-5 = = 11m
2
=☑
•VA@x=0
×20 x = -0
lim
x² + 10 = =0 HA @ x = 0
2
3-5/17 ₤)²= 3-5605=3
ex lim 5x-4= 5=-5 HA @yas
X200 3-X
ex lim sx-4 16 Think: 10
ек
X733-x
As xost 9x-4 1670
und ?-X?Ò




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