THINK Suppose KID/(X) Z 2 - Does f0) 2 2? Explain- Provide an example NOT in your notes to x support your answer. Suppose f (1) I 2- Does limf(x) = 2 1? Explain- Provide an example NOTinyour notes to 1)] support your answer. What are the three ways a limit fails to exist\"?I For each. _..Provide an example NOT in your notes to support your answer. 1. For each of the following functions, first complete the table and then, based on the table, find the given limits. If a limit does not exist, write "DNE". (a) f() = r - 3 T 2.9 2.99 2.999 2.9999 3.1 3.01 3.001 3.0001 f(x) -3169-3-017-3-07- 3+000 -284 lim f(@) = lim f (x) = lim f (c) =(b) f(x) = -3 I - 3 2.9 2.99 2.999 2.9999 3.1 3.01 3.001 3.0001 f () lim f(x) = lim f(x) = lim f(x) = 1-+3- I-+3+ r-+3 (c) f ( ) = -2 T -0.1 -0.01 -0.001 -0.0001 0.1 0.01 0.001 0.0001 lim f(x) = lim f(x) = lim f(x) = I-0+ (d) x+1 lim x-1x2- x- 2 X -1.1 -1.01 -1.001 -1 -0.999 -0.99 -0.9 f(x) lim f (x) = lim f (x) = lim f (x) = *--1