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∵f'(0)=1 ∴limx→0[f(x)-f(-x)]/x =limx→0[f(x)-f(0)+f(0)-f(-x)]/x =limx→0[f(x)-f(0)]/x+limx→0[f(0)-f(-x)]/x =f'(0)+limx→0[f(-x)-f(0)]/(-x) =1+f'(0) =2
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