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**Unformatted text preview: **4. If lim f (x) = 8 and lim g(x) = 16, then find lim-
5. 1im f ()
5f (x )
5. 8
x-if(x) - 8(x)
X-$3 5 (x ) - lim
40
-XD3 9(x )
8- 14
- 8
- 5
5. Use the graph of f given below to find all values of x - a where the function is discontinuous.
For each point of discontinuity, give the following:
(a) lim f(x)
x - a '
Discontinuous
(b) lim f (x) at X- 5 +x20
A(x) 1
(c) lim f(x)
(d) f(a)
3 -
The graph is discontinuous at x =
- 5
The graph is discontinuous at x =
(a) lim f(x) = 0
x-a
a) lim f(x) = 0
lim f(x) = - 00
x -a
(b) lim f(x) = 0
(c) lim f(x) = D.N. F
x -at
(c) lim f(x) = 0
(d)
f (a ) = Not
x - a
defined D.N.F
( d) f(a) = Not defined DIN. I
6. Using your graphing calculator and your knowledge of functions and algebra, find all values x = a w
function is discontinuous. For each such x value, find lim f(x).
(a) f(x) = -
- -4 X - 2 = 0
x - 2
TX= 2 + discontinuous at x > 2
im
* + 2
( b) f (x) = 1x - 3 x- 3 = 0
him
e lim
x - 3 X = 3 + Discontinuous
x - 3
X 2 X = 0
(c) f (x ) = -
x-1 x2 _ x = 0
( x- 1 )
X 2 - X
+ 1
( x / 1) ( x + 1 )
X 2 = 1
him
X =1
3 of 5
* O
X = 0...

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- Fall '19