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

1 Answer
Jun 2, 2016

=#lim_(xrarr3^+) 9#

Explanation:

#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.

enter image source here