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evaluate the limit of ((1/x)-(1/x^2)) as x approaches 0 from the right

Question

evaluate the limit of ((1/x)-(1/x^2)) as x approaches 0 from the right

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Solution

To evaluate the limit of the function ((1/x)-(1/x^2)) as x approaches 0 from the right, we can first simplify the function:

(1/x) - (1/x^2) = (x - 1) / x^2

Now, as x approaches 0 from the right, the function (x - 1) / x^2 approaches negative infinity. This is because the numerator (x - 1) approaches -1 and the denominator (x^2) approaches 0 from the right, which makes the whole fraction approach negative infinity.

So, the limit of ((1/x)-(1/x^2)) as x approaches 0 from the right is negative infinity.

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