lim(x→0) (1 + e^-1/x)/(1 - e^-1/x) is equal to

lim(x→0) (1 + e-1/x)/(1 - e-1/x) is equal to(A) 1 (B)-1 (C) 0 (D) Does not exist   ­


The limit does not exist because the expressions on the numerator and denominator are both approaching infinity. When x approaches 0, the numerator approaches infinity and the denominator approaches -infinity. As a result, the fraction is undefined.

Answered by Willie

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