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How do you determine the limit of #1/(x-3)# as x approaches #3^+#?

Answer 1

#oo#

We have:

#lim_(xrarr3^+)1/(x-3)#

We can see that the denominator in this situation goes closer and closer towards zero from the positive side. Since the limit of #1/x# as #x# approaches #0# from the positive side is #oo#, this function will also approach #oo#.

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Answer 2

Isaiah Allen

To determine the limit of 1/(x-3) as x approaches 3^+, we substitute the value of x into the expression. Plugging in x = 3^+ into the expression gives us 1/(3-3), which simplifies to 1/0. Since division by zero is undefined, the limit does not exist.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.