Limits Flashcards
0
Q
lim 1/x=
x➡️0+
A
lim 1/x= ∞
x➡️0+
1
Q
lim c=
x➡️a
A
lim c= c
x➡️a
y= c is a horizontal line, so the limit – which is the function height– must equal c regardless of the x-number
2
Q
lim 1/x=
x➡️0-
A
lim 1/x= -∞
x➡️0-
3
Q
lim 1/x=
x➡️∞
A
lim 1/x= 0
x➡️∞
4
Q
lim 1/x=
x➡️-∞
A
lim 1/x= 0
x➡️-∞
5
Q
lim (1 + 1/x)^x=
x➡️∞
A
lim (1 + 1/x)^x= e
x➡️∞
6
Q
lim sin(x)/x= x➡️0
A
lim sin(x)/x= 1 x➡️0
7
Q
lim (cosx- 1)/x=
x➡️0
A
lim (cosx- 1)/x= 0
x➡️0
