review the table of values for function g(x). what is the limit, if it exists? lim x→29 g(x) x g(x) 28.9…
review the table of values for function g(x). what is the limit, if it exists? lim x→29 g(x) x g(x) 28.9 -3.751 28.99 -3.76 28.999 -3.9 29 undefined 29.001 -4.1 29.01 -4.24 29.1 -4.249 -3.75 -4.25 dne -4
Answer
Explanation:
Step1: Check left - hand limit
As $x$ approaches $29$ from the left ($x = 28.9,28.99,28.999$), the values of $g(x)$ are $- 3.751,-3.76,-3.9$. There is no clear single - value trend.
Step2: Check right - hand limit
As $x$ approaches $29$ from the right ($x = 29.001,29.01,29.1$), the values of $g(x)$ are $-4.1,-4.24,-4.249$. There is no clear single - value trend that matches the left - hand trend.
Step3: Determine the limit
Since the left - hand limit and the right - hand limit do not approach the same value, the limit does not exist.
Answer:
DNE