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limit ( e ^ x ) / x as x -> 0 = [ limit ( e ^ x ) as x -> 0 ] / [ limit x as x -> 0 ] = 1 / 0 which is undefined. limit ( e ^ x ) / x as x -> 0 = + OR - infinity OR limit ( e ^ x ) / x as x -> 0- = - infinity limit ( e ^ x ) / x as x -> 0+ = infinity
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