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Mathematics
Mathematics
Problem
Let
k
k
k
be a real number. Determine
lim
x
→
k
x
2
−
k
2
x
3
−
k
3
\displaystyle \lim_{x\to k}\frac{x^2-k^2}{x^3-k^3}
x
→
k
lim
x
3
−
k
3
x
2
−
k
2
and state for which values of
k
k
k
the limit exists.
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