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skelet666 [1.2K]
3 years ago
12

Prove that lim x->0 cos(1/x) does not exist.

Mathematics
1 answer:
Annette [7]3 years ago
5 0
The limit of the function cos(1/x)  as x approaches zero can be determined by substituting x with zero to the expression given. IN this case, 1/0 is equal to infinity. Using the rule of cosines, the maximum value of the cosine expression is 1. Hence the limit should be 1.
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Geometry help???????
DENIUS [597]

Answer:

the first one is corresponding angles postulate

the second one is linear pair

Step-by-step explanation:

corresponding angles are equal

the sum of linear pair is 180°

pls mark as brainliest

8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Viktor [21]

Answer:

Step-by-step explanation:

Triangle IJK is a right angle triangle.

From the given right angle triangle

JK represents the hypotenuse of the right angle triangle.

With ∠K as the reference angle,

IK represents the adjacent side of the right angle triangle.

IJ represents the opposite side of the right angle triangle.

To determine Cos K, we would apply trigonometric ratio

Cos θ = adjacent side/hypotenuse. Therefore,

Cos K = 36/85

Cos K = 0.4235

Rounding up to the nearest hundredth,

Cos K = 0.42

4 0
3 years ago
PLS HELP PLSSS HELP
Sonja [21]

The factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

<h3>Factoring quadratic expressions</h3>

From the question we are to factor the given quadratic expressions

  • y = x² + 5x - 14

y = x² +7x -2x - 14

y = x(x +7) -2(x +7)

y = (x -2)(x +7)

  • y = x² -3x - 54

y = x² -9x +6x - 54

y = x(x -9) +6(x -9)

y = (x +6)(x -9)

  • y = x² +8x + 12

y = x² +6x +2x +12

y = x(x +6) +2(x +6)

y = (x +2)(x +6)

  • y = x² -11x +30

y = x² -6x -5x +30

y = x(x -6) -5(x -6)

y = (x -5)(x -6)

  • y = x² - 25

y = (x +5)(x -5)

  • y = x² + 8x - 9

y = x² +9x -x -9

y = x(x +9) -1(x +9)

y = (x -1)(x +9)

  • y = x² - 16

y = (x +4)(x -4)

Hence, the factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

Learn more on Factoring quadratic expressions here: brainly.com/question/52959

#SPJ1

4 0
2 years ago
Read 2 more answers
Solve the equation 5y-6=10
BaLLatris [955]

Answer:

y = 3.2

Step-by-step explanation:

Simplifying

5y + -6 = 10

Reorder the terms:

-6 + 5y = 10

Solving

-6 + 5y = 10

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5y = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 5y = 10 + 6

5y = 10 + 6

Combine like terms: 10 + 6 = 16

5y = 16

Divide each side by '5'.

y = 3.2

Simplifying

y = 3.2

8 0
2 years ago
Read 2 more answers
EASY PLZ HELP!<br> Solve for x. (Show your work)<br> 2x + 3 &gt; 5
m_a_m_a [10]

<u><em>Hi there! </em></u>

<u><em>Answer:</em></u>

<u><em>X>1</em></u>

<u><em>*The answer must have a positive sign and greater than symbol.*</em></u>

Step-by-step explanation:

First, you subtract by 3 from both sides of an equation.

2x+3-3>5-3

Then, you subtract by the numbers from left to right.

5-3=2

2x>2

You can also divide by 2 from both sides of an equation.

\frac{2x}{2}>\frac{2}{2}

Finally, you divide by the numbers from left to right.

2/2=1

<em><u>Final answer is x>1</u></em>

I hope this helps you!

Have a nice day! :)

:D

-Charlie

Thank you so much! :)

:D

8 0
3 years ago
Read 2 more answers
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