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How do you find the limit of #(2x-1)^3# as #x->0#?

Answer 1

Emma Aldridge

# lim_(x->0) (2x-1)^3 = -1#

Let # f(x) = (2x-1)^3 #, then f(x) is continuous # AA x in RR# and the limit is not of an indeterminate form;

# :. lim_(x->0) (2x-1)^3 = f(0)# # :. lim_(x->0) (2x-1)^3 = (-1)^3# # :. lim_(x->0) (2x-1)^3 = -1#

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Answer 2

Luke Alvarez

To find the limit of (2x-1)^3 as x approaches 0, we can substitute 0 for x in the expression. This gives us (2(0)-1)^3, which simplifies to (-1)^3. Therefore, the limit of (2x-1)^3 as x approaches 0 is -1.

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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.

How do you find the limit of #(2x-1)^3# as #x-&gt;0#?

How do you find the limit of #(2x-1)^3# as #x->0#?