lim(x->0) {(e^(1/x)-1)÷(e^(1/x)+1)}
A) 0 B) 1 C) -1 D) does not exist
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lim (e^1/x - 1) / (e^1/x + 1)
x----->0
= lim (1 - e^-1/x) / (1 + e^-1/x) (divided by e^1/x)
x------>0
= (1 -0) /(1 + 0) (e^-1/0 = e^-∞ = 1/e^∞ = 1/∞ = 0)
= 1
hence option (B) is correct
x----->0
= lim (1 - e^-1/x) / (1 + e^-1/x) (divided by e^1/x)
x------>0
= (1 -0) /(1 + 0) (e^-1/0 = e^-∞ = 1/e^∞ = 1/∞ = 0)
= 1
hence option (B) is correct
doraemondorami2:
Even i got the same answer but the correct option is given as option D.
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