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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
ln
(
x
+
1
)
f(x)=\sqrt{x}\,\ln(x+1)
f
(
x
)
=
x
ln
(
x
+
1
)
for
x
≥
0
x\ge 0
x
≥
0
. Determine
lim
x
→
0
+
f
(
x
)
\displaystyle \lim_{x\to 0^{+}} f(x)
x
→
0
+
lim
f
(
x
)
. a)
1
1
1
b)
0
0
0
c) Does not exist d)
1
2
\dfrac12
2
1
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