Chapter 2.1, Problem 31E

Evaluate the limit

2. Find lim x²+ x':

Evaluate 1. limit = 2. limit -3 3. limit does not exist 4. limit x + 1 lim x-1 x² – 3x − 4 - 5. limit 6. limit 2|5 1 5 20 5

determine the limit graphically and confirm algebraically

4. Find: lim- sinx X0x

>= {x₁ 1) Consider the piecewise function g(x) = (x-2)(x-1), 3-x, a) lim g(x) x→0+ 1, Use the definition for g to evaluate the following. Show work where appropriate. c) g(0) if x ≤ 0 if 0 2 b) lim g(x) x-0-

Find limit sin(-2*Pi*x) x appproaches -3

Can you please help fastly, I have only 20minutes, please help me. Thanks in advanced

Figure out that this statement is true or false? if is false explain why?  by using example, and if it is true explain why? When lim x → a f ( x )  exists, the limit is always equal to f ( a ) - Is this statement true or false?