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Anonymous

I'm working on a calculus test / quiz prep and need support to help me understand better.

I am working on my calculus assignments. Dont worry if i dont answer to you because sometime I am busy at work. so feel free to answer these questions please and thanks.

Math 180 -Assignment #1
Due: 10:00a, Saturday, January 23, 2021
**************************************************************************
*Complete solutions using proper notation will be required to receive full credit.
*Please clearly identify your final answers. Circle your final answers where appropriate.
*Please put your problems in numerical order before submitting them as a single PDF or
Word Document via Blackboard.
*Do NOT wait until the last minute. Late submissions will receive severe reductions.
*Each problem will be graded on a 10-point scale. The total will be scaled to 100 points.
*****************************************************************************
5
#1.) Prove lim − x + 7 = −8 using the − definition.
x→6 2
#2.) Evaluate
(
lim 4 x3 − 6 x2 + 7
x →−2
)
by demonstrating the properties.
3,
1 x + 1,
#3.) Given f ( x ) = 2
5,
x 2 − 2,
a.)
lim + f ( x )
x →−4
b.)
lim f ( x )
x → 0−
c.)
lim f ( x )
x → 0+
x −4
− 4 x 0
x=0
,
Evaluate the following limits.
x0
You might find a graph helpful but I am looking for an analytical approach using the
piecewise-defined function given above.
#4.) Evaluate
lim
x →−1
#5.) Evaluate
lim
x→9
x+5 −2
.
x +1
3x 2 − 4
.
x−6
1
1
−
x+3 5.
#6.) Evaluate
lim
x→2 x − 2
#7.) Evaluate
3x −10
lim +
.
x
−
4
x →4
Hint:
3x −10
2
= 3+
x−4
x−4
#8.) Given f ( x ) = 2 x2 − 3x , Find
lim
x → 0
f ( x + x ) − f ( x )
.
x
...

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