Question
Asked Sep 14, 2019
T 13. Finding 6 for a givene using a graph Let f(x) = x + 3 and
note that lim f(x)
3. For each value of e, use a graphing utility
1
x0
to find all values of 6> 0 such that f(x) - 3< 8 whenever
0x-0< 8. Sketch graphs illustrating your work.
b. e 0.5
а. Е — 1
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T 13. Finding 6 for a givene using a graph Let f(x) = x + 3 and note that lim f(x) 3. For each value of e, use a graphing utility 1 x0 to find all values of 6> 0 such that f(x) - 3< 8 whenever 0x-0< 8. Sketch graphs illustrating your work. b. e 0.5 а. Е — 1

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Step 1

|(P +3)-31=i2 +3-3]
+0
Thus, find a number 8 such that 0 <x-0< then |x|< (1)3.
<
So, choose 51
Assume x-01
-1x-01
-1x<1
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|(P +3)-31=i2 +3-3] +0 Thus, find a number 8 such that 0 <x-0< then |x|< (1)3. < So, choose 51 Assume x-01 -1x-01 -1x<1

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Step 2

f(x)= +3
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f(x)= +3

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Step 3

...
P+3)-31= 12 #3 -3|
x
+0
Thus, find a number S such that 0 x-01<
then x|<(0.5)3
So, choose (0.5)3.
Assume x-<(0.5)3
-(0.5) <-0< (0.5)
-0.796 < x<0.796
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P+3)-31= 12 #3 -3| x +0 Thus, find a number S such that 0 x-01< then x|<(0.5)3 So, choose (0.5)3. Assume x-<(0.5)3 -(0.5) <-0< (0.5) -0.796 < x<0.796

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Tagged in

Math

Calculus

Continuity