review the table of values for function h(x). what is the limit? lim h(x) as x→10+ x h(x) 9.9 12.7 9.99…

review the table of values for function h(x). what is the limit? lim h(x) as x→10+ x h(x) 9.9 12.7 9.99 12.97 9.999 12.997 9.9999 12.9997 10 undefined 10.0001 18.5004 10.001 18.504 10.01 18.54 10.1 18.9 19 12.5 13 18.5

review the table of values for function h(x). what is the limit? lim h(x) as x→10+ x h(x) 9.9 12.7 9.99 12.97 9.999 12.997 9.9999 12.9997 10 undefined 10.0001 18.5004 10.001 18.504 10.01 18.54 10.1 18.9 19 12.5 13 18.5

Answer

Explanation:

Step1: Analyze right - hand limit

The notation $\lim_{x\rightarrow10^{+}}h(x)$ means we look at the values of $h(x)$ as $x$ approaches 10 from the right (values of $x$ greater than 10).

Step2: Check table values

From the table, as $x = 10.0001,10.001,10.01,10.1$, the values of $h(x)$ are $18.5004,18.504,18.54,18.9$ respectively. These values are approaching 18.5 as $x$ gets closer to 10 from the right.

Answer:

18.5