As x goes to infinity, the limit does not exist.
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limit x tends to infinitive ((e^x)-1)/(x)
(2)-1/3 x (4)-1/3 = (2 x 4)-1/3 = (8)-1/3 = 1/81/3 = 1/2
Any number x raised to a negative power -y is equivalent to the reciprocal of x raised to y. So, 10-73 would be the fraction 1 over the number 1 with 73 zeroes after it. A very small number indeed!
Yes, ∞ and -∞ both exist as distinct entities. If I take the limit of 1/x as x approaches 0 from the positive side, I get ∞. On the other hand if I take the limit of 1/x as x approaches 0 from the negative side, I get -∞.
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