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Fynjy0 [20]
3 years ago
6

I am not sure how to slove

Mathematics
1 answer:
notsponge [240]3 years ago
5 0

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit).  There is a typo.  The 14 should be positive.

\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5

The precise definition of a limit is:

\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|

Given:

f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|

⇒ \epsilon = \delta

When ε = 0.1,     δ = 0.1

When ε = 0.01,   δ = 0.01

You might be interested in
Find the area of the isosceles triangle. please help thanks
fiasKO [112]

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

5 0
3 years ago
.<br> Solve for x:<br><br> 2% of x = 17<br><br> a 34<br><br> b 8.5<br><br> c 85<br><br> d 850
blsea [12.9K]

Answer:850

Step-by-step explanation:

To find this 2% of x= 17

2/100×x=17

2x/100=17

2x=1700

x=850

4 0
3 years ago
What dose 4i(-6+i) +
Yuliya22 [10]

Step-by-step explanation:

-4 - 24 i

3 0
3 years ago
What is the completely factored form of x3-64?
nataly862011 [7]
<span>a^3 - b^3 = (a - b) </span><span>(<span>a^2 + </span>ab + b^2)
</span><span>so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)

hope it helps</span>
7 0
2 years ago
Read 2 more answers
The circumference of a bike tire is 84 inches what is the diameter
I am Lyosha [343]

Answer:

26.75 or 26.75156923

Step-by-step explanation:

Circumference formula:

C =Лd

Diameter formula:

d=c/Л

Substitute C for 84 and Л for 3.14:

d=84/3.14

Solve for Diameter:

d=26.75

8 0
3 years ago
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