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Yakvenalex [24]
3 years ago
11

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → (π/2)+

cos(x) 1 − sin(x)
Mathematics
1 answer:
Otrada [13]3 years ago
5 0

Answer:

The limit of the function at x approaches to \frac{\pi}{2} is -\infty.

Step-by-step explanation:

Consider the information:

\lim_{x \to \frac{\pi}{2}}\frac{cos(x)}{1-sin(x)}

If we try to find the value at \frac{\pi}{2} we will obtained a \frac{0}{0} form. this means that L'Hôpital's rule applies.

To apply the rule, take the derivative of the numerator:

\frac{d}{dx}cos(x)=-sin(x)

Now, take the derivative of the denominator:

\frac{d}{dx}1-sin(x)=-cos(x)

Therefore,

\lim_{x \to \frac{\pi}{2}}\frac{-sin(x)}{-cos(x)}

\lim_{x \to \frac{\pi}{2}}\frac{sin(x)}{cos(x)}

\lim_{x \to \frac{\pi}{2}}tan(x)}

Since, tangent function approaches -∞ as x approaches to \frac{\pi}{2}

, therefore, the original expression does the same thing.

Hence, the limit of the function at x approaches to \frac{\pi}{2} is -\infty.

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Me ayudan porfavorrrrrr lo necesitoooooooooo :(((((((((((((
marysya [2.9K]

Answer:

wait what does that mean

Step-by-step explanation:

7 0
2 years ago
ky has 3 times more books than grant and grant has 6 fewer books than Jaime if the total combined number of books is 176 how man
sergiy2304 [10]
Number of books each of them have:

Jaime: x
Grant: x - 6
Ky: 3 (x - 6)

There are 176 books in total, so we can write it down as:

176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24                        / + 24 (both sides)
5x = 200                              / ÷ 5 (both sides)
x = 40

Doublecheck:

Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102

102 + 34 + 40 = 176, so it's correct :)
5 0
3 years ago
Read 2 more answers
Please awnser thase questions for my prarice test
Vinvika [58]

Answer:

Add 5 for the first one

The 2nd one is 25 and k or 25 thousand.

Step-by-step explanation:

add 5 for the first one because 5 + 5 = 10

9 + 5 = 14 .   and 13 + 5 = 18.

------------------------------------------------------------------

For the 2nd one:  25k means 25 thousand or the Product of 25 and k.

5 0
3 years ago
Circumference and area of 7ft​
nikdorinn [45]
Circumference: 21.991 feet
Area: 38.485 feet
5 0
3 years ago
4/3x + 1/6x = 36 (solve for x please help I have no idea what it is!!!!!!!
ElenaW [278]

Answer:

x = 24

Step-by-step explanation:

\frac{4}{3}x + \frac{1}{6}x = 36

Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.

\frac{8}{6}x + \frac{1}{6}x = 36

Now we can calculate the numerators and keep the denominators the same.

\frac{9}{6}x = 36

Find x.

\frac{6}{6}x = \frac{6}{9} × 36

x = 24

7 0
2 years ago
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