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For what values of x, if any, does #f(x) = 1/((2x-3)(5x-3) # have vertical asymptotes?

Answer 1

Charles Anctil

#x=3/2# and #x= 3/5#

These two values f(x)= #oo#. Hence these are the vertical asymptotes.

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Answer 2

Charles Arocha

The function f(x) = 1/((2x-3)(5x-3)) has vertical asymptotes at x = 3/2 and x = 3/5.

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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.

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