Wasted Expansion

Calculus Level 2

limh0(1+h)5(1h)5h \large \lim_{h\to0} \dfrac{ (1+h)^{5} - (1-h)^{5} }h

The expansions of (1+h)5 (1+h)^{5} and (1h)5(1-h)^{5} are very long. Can we find a way to evaluate the limit above without expanding and simplifying the expression? If yes, what is the value of this limit?

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