I am going to find the limit of,Originally Posted byNichelle14

. I will assume that it exists, (I will leave that to you to prove).

Begin by saying the limit exists,

Thus, (using the concept of countinous functions)

Using, the properties of logarithms,

Since, it is expressable as a Taylor polynomial,

Thus,

Open parantheses,

Since, each term with and "x" gives a zero you have,

Thus,

Finally,

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Thus, given,

Divide by "x" as you said,

Since the numerator and denominator (non-zero) both exist you can conclude that the limit is,