1)let a>0 and x>0 find lim _(x→a) ((e^(−ax^2 ) − e^(−xa^2 ) )/(a^x −x^a )) . 2)find lim_(x→2) ((e^(−2x^2 ) − e^(−4x) )/(2^x −x^2 )) .


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Question Number 32256 by abdo imad last updated on 22/Mar/18

$1) l e t a > 0 a n d x > 0 f i n d l i m_{x \to a} \frac{e^{- {a x}^{2}} - e^{- {x a}^{2}}}{a^{x} - x^{a}} .$ $2) f i n d {l i m}_{x \to 2} \frac{e^{- 2 x^{2}} - e^{- 4 x}}{2^{x} - x^{2}} .$
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