review the table of values for function h(x). what is lim h(x)? x→10+ \n|x|h(x)|\n|9.9|12.7|\n|9.99|12.97|\n|…

review the table of values for function h(x). what is lim h(x)? x→10+ \n|x|h(x)|\n|9.9|12.7|\n|9.99|12.97|\n|9.999|12.997|\n|9.9999|12.9997|\n|10|undefined|\n|10.0001|18.5004|\n|10.001|18.504|\n|10.01|18.54|\n|10.1|18.9|\n12.5\n13\n18.5\n19

review the table of values for function h(x). what is lim h(x)? x→10+ \n|x|h(x)|\n|9.9|12.7|\n|9.99|12.97|\n|9.999|12.997|\n|9.9999|12.9997|\n|10|undefined|\n|10.0001|18.5004|\n|10.001|18.504|\n|10.01|18.54|\n|10.1|18.9|\n12.5\n13\n18.5\n19

Answer

Explanation:

Step1: Analyze right - hand limit

We are looking for $\lim_{x\rightarrow10^{+}}h(x)$, which means we consider values of $x$ that are greater than 10 and getting closer to 10.

Step2: Examine table values

As $x$ takes values 10.0001, 10.001, 10.01, 10.1 (values greater than 10 and approaching 10), the corresponding $h(x)$ values are 18.5004, 18.504, 18.54, 18.9. These values are approaching 18.5.

Answer:

18.5