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How do you find the limit of #x^2# as x approaches #3^+#?

Answer 1

=#lim_(xrarr3^+) 9#

#lim_(xrarr3^+) x^2#

this is a simple limit problem where you can just plug in the 3 and evaluate. This type of function (#x^2#) is a continuous function that will not have any gaps, steps, jumps, or holes.

to evaluate:

#lim_(xrarr3^+) 3^2#

=#lim_(xrarr3^+) 9#

to visually see the answer, please see the graph below, as x approaches 3 from the right (positive side), it will reach the point (3,9) thus our limit of 9.

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Answer 2

Luke Alvarez

To find the limit of x^2 as x approaches 3^+, we substitute the value of x into the function. In this case, as x approaches 3 from the right side, we substitute x = 3 into the function x^2. Evaluating this, we get the limit as 9.

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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.