Piecewise Functions Let f ( x ) = { 0 , if x is rational 1 , if x is irrational and g ( x ) = { 0 , if x is rational x , if x is irrational Find (if possible) lim x → 0 f ( x ) and lim x → 0 g ( x ) .
Piecewise Functions Let f ( x ) = { 0 , if x is rational 1 , if x is irrational and g ( x ) = { 0 , if x is rational x , if x is irrational Find (if possible) lim x → 0 f ( x ) and lim x → 0 g ( x ) .
Solution Summary: The author explains the formula used to calculate the value of limits undersetxto 0mathrmlimf(x-).
f
(
x
)
=
{
0
,
if
x
is rational
1
,
if
x
is irrational
and
g
(
x
)
=
{
0
,
if
x
is rational
x
,
if
x
is irrational
Find (if possible)
lim
x
→
0
f
(
x
)
and
lim
x
→
0
g
(
x
)
.
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
limit as x approaches infinity of 3/(e^x-3)
limit as x approaches negative infinity of 3/(e^x-3)
How do I do this without using L'Hospital's rule?
lim x approches -infinity x ln(1-1/x)
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