Question:

Consider the following table. 2.999 3.0001 2.9 1.789 f(x) g(x) h(x) 2.99 1.889 2.9 11.89 1.998 2.9 34.65 3 undefined 0 3. 001 1.

Consider the following table.
2.999
3.0001
2.9
1.789
f(x)
g(x)
h(x)
2.99
1.889
2.9
11.89
1.998
2.9
34.65
3
undefined
0
3. 001
1.886
2.9
22.1
1.997
2.9
51.23
2.9
3.01
1.845
2.9
10.34
9
3
Which of the following statements are
reasonable conclusions?
I. lim f(x) does not exist.
x 3
II. lim g(x) = 0
X
X->3
III. lim f(x) = 2
=
x +3
IV. lim h(x) # lim h(2)
+ x
x3
x+3+

Consider the following table. 2.999 3.0001 2.9 1.789 f(x) g(x) h(x) 2.99 1.889 2.9 11.89 1.998 2.9 34.65 3 undefined 0 3. 001 1.886 2.9 22.1 1.997 2.9 51.23 2.9 3.01 1.845 2.9 10.34 9 3 Which of the following statements are reasonable conclusions? I. lim f(x) does not exist. x 3 II. lim g(x) = 0 X X->3 III. lim f(x) = 2 = x +3 IV. lim h(x) # lim h(2) + x x3 x+3+

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