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2
Which is larger?
Which is larger?
Source:
May 14, 2006
limit
inequalities
calculus
function
Problem Statement
Determine which of the two numbers
c
+
1
−
c
\sqrt{c+1}-\sqrt{c}
c
+
1
−
c
,
c
−
c
−
1
\sqrt{c}-\sqrt{c-1}
c
−
c
−
1
is greater for any
c
≥
1
c\ge 1
c
≥
1
.
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