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Mathematics
Mathematics
Problem
Calculate
lim
x
→
0
1
+
2
x
−
1
+
x
x
\displaystyle\lim_{x\to 0}\dfrac{\sqrt{1+2x}-\sqrt{1+x}}{x}
x
→
0
lim
x
1
+
2
x
−
1
+
x
. a)
1
1
1
b)
0
0
0
c)
1
2
\dfrac12
2
1
d) The limit does not exist
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