证明若f(x)在(a,正无穷)上可导,且x趋于a+时与趋于正无穷时limf(x)相等,则存在δ属于(a,正无穷)使f✀(δ)=0

2024-12-02 15:26:18
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回答1:

若腊野f(x)在(a,正无穷)上耐简可导
lim(x->a+)f(x) = lim(x->正无穷)f(x)
=> there exists δ属昌局裤于(a,正无穷), such that
f(δ)= min or max of f(x)
=>there exists δ属于(a,正无穷) such that
f'(δ) =0