Prove that these functions are linearly independent – math.stackexchange.com

Prove that these functions are linearly independent – math.stackexchange.com

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Given $ \alpha_1 > \alpha_2 > \cdots > \alpha_n \geq 0$, $f_1(x)= e^{-\alpha_1x},..., f_n(x)=e^{-\alpha_nx}$, prove that they are linearly independent . Hint: don’t forget the limit $ x \...

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