what is a reasonable estimate for the limit? lim f(x) = x→7 x f(x) 6.9 10.43 6.99 10.71 6.999 10.99 7.001…

what is a reasonable estimate for the limit? lim f(x) = x→7 x f(x) 6.9 10.43 6.99 10.71 6.999 10.99 7.001 10.99 7.01 10.71 7.1 10.43

what is a reasonable estimate for the limit? lim f(x) = x→7 x f(x) 6.9 10.43 6.99 10.71 6.999 10.99 7.001 10.99 7.01 10.71 7.1 10.43

Answer

Explanation:

Step1: Observe x - values approaching 7

As x approaches 7 from the left (6.9, 6.99, 6.999) and from the right (7.001, 7.01, 7.1), we look at the corresponding f(x) - values.

Step2: Analyze f(x) - values

The f(x) - values seem to be approaching 10.99 as x gets closer to 7 from both sides.

Answer:

10.99