Chapter 2.1, Problem 23E

1. Evaluate limx→2x2 + 5x + 1 using the Limit Laws. Show which laws you use at each step.2. Simplify, and then evaluate using the Direct Substitution Property: limx→1x2 + 2x − 3x2 + 6x − 7

EXPLAIN: Exercise 4.1 1. Explain the difference between the one-sided limit from the right and the one-sided limit from the left. 2. When do you say that the limit of the function exists? 5

Please do fast

Would you use the dividing out technique or the rationalizing technique to find the limit of the function? Explain your reasoning

x-2 22. Evaluate lim x+2 Vx2-4

Find the limit if it exists. lim 5x X→6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim 5x = X→6 (Simplify your answer.) O B. The limit does not exist.

Find the limit. 3) lim Vx2+ 5x - Vx2 - 3x

Determine if f is differentiable or not. Using the limit definition.

I don't understand how to do right sided limits. Why is the answer for number 6 negative infinity but the answer for number 7 is -1?