1. Estimate the value of each of the following limits by constructing appropriate tables of values. Then determine the exact value of the limit by using algebra to simplify the function. Finally, plot each function on an appropriate interval to check your result visually. x²- а. lim bx→1 x-1 (2+x)3-8 b. lim x→0 x+1-1 с. lim bx→0

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.