Question

1. if limit X approaches to 2 from the negative side then evaluate the equation X-10/X-2

2. If limit X approaches to 3 from the positive site then evaluate the equation X-11/X-3

3.Evaluate the following equation if limit X approaches to infinity -11X^2+4X-4/8X-8

4. Evaluate the following equation if lim X approaches to negative infinity -3X^2-9X+9/9X-6

Answer #1

1. if lim
x->infinity+ (5+2X)/(9-6X)=??
2. what is the value for the same equation if lim x approaches
to negative infinity???
3. if lim x approaches to positive infinity then evaluate the
equation (4X+7)/(5X^2-3X+10)
4. What would be the value of the above mentioned equation is
lim x approaches to negative infinity

Finding Limits: Use L’Hopital’s rule to evaluate the limit .
SHOW WORK .
8. lim┬(x→-1)〖(x-8x^2)/(12x^2+5x)〗
9. lim┬(x→0)〖sin5x/(2x^2 )〗

1. Evaluate the limit using L'Hospital's rule if necessary
lim x→∞ (1+ 12 / x)^x/1
2. In which limits below can we use L'Hospital's Rule?
lim x→π/5 sin(5x) /5x−π
lim x→−∞ e^−x / x
lim x→0 2x/ cotx
lim x→0 sin(3x) / 3x
I Need help with both questions please! thank you so much.

sketch a neat, piecewise function with the following
instruction: 1. as x approach infinity, the limit of the function
approaches an integer other than zero. 2. as x approaches a
positive integer, the limit of the function does not exist. 3. as x
approaches a negative integer, the limit of the function exists. 4.
Must include one horizontal asymtote and one vertical asymtote.

Evaluate each limit. Use l' Hospital's Rule if appropriate.
a) limx→−3 81−x^4/9x+27
b) limx→0 e^3x −1−3x/x^2
c) limx→0+ xlnx

Evaluate the limit using L'Hopital's rule
lim 5cos(7x)sec(−3x)
x→π/2

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

a.) Find the following limit.
lim x→−∞ x^3 - sqrt(4x^6-3x)/7x^3+x
b.) Sketch the graph of a function f(x) that has all of the
following features:
f ' (x) > 0 on the intervals (−∞, −4) ∪ (3,∞).
f ' (x) < 0 on the intervals (−4, −1) ∪ (−1, 3).
f '' (x) > 0 on the intervals (−∞, −4) ∪ (−4, −2) ∪ (−1,
4).
f '' (x) < 0 on the intervals (−2, −1) ∪ (4,∞).
x-intercepts when...

Estimate the lim as f(x) approaches -infinity by graphing
f(x)=sqrt{x^{2}+x+9}+x
(b) Use a table of values of f(x) to guess the
value of the limit. (Round your answer to one decimal place.)
(c) Prove that your guess is correct by evaluating
lim x→−∞ f(x).

Part I
If P(x) = 2x 4 - x 2 + 3x - 1, use synthetic division to
find P (2).
A. 17
B. 21
C. 33
Solve x 4 - 11x 2 + 18 = 0.
A. {±2, ±9}
B. {±√2, ±3}
C. {±2,± √3}
Part II
If P(x) = x 5 + 1 is divided by x + 1, find the
remainder.
A. -1
B. 0
C. 2
A soccer ball is kicked from the ground in an...

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