Question

Estimating limit values from graphs The function g is defined for all real numbers except for x 5. -7 -6 -5 -4 -3 -2 Y 7 6+ 5 4+ 3. 2 T -2- -3+ -4+ -5+ -6- -7 9 1 →x 1 2 3 4 5 6 7 43 What is a reasonable estimate for lim g(x)? x → 5 Либо ответ: 0 либо 5

Answer 1

Розумною оцінкою межі g(x) при наближенні x до 5 буде 4,5, оскільки це значення g(x) в точці, що безпосередньо передує x = 5.

Answer 2

Based on the given graph, we can estimate the limit of g(x) as x approaches 5. As x approaches 5 from the left side (denoted by the -5- arrow on the graph), the function values approach 4+. As x approaches 5 from the right side (denoted by the 5+ arrow on the graph), the function values approach 3.

Since the function values approach different values from the left and right sides, the limit of g(x) as x approaches 5 does not exist. Therefore, it would not be accurate to estimate the limit as 0 or 5.