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WARRIOR [948]
4 years ago
11

Lim (sin x )^tanx as x->pi/2

Mathematics
1 answer:
Sholpan [36]4 years ago
3 0
 <span>lim (x → π/2) (sinx)^(tanx) 
= lim (x → π/2) e^[(tanx) ln (sinx)] 
= e^ [lim (x → π/2) (tanx) ln (sinx)] ... (1) 

lim (x → π/2) (tanx) ln (sinx) 
= lim (x → π/2) [ln(sinx) / cotx] 

Using L'Hospital'stheorem, 
= lim (x → π/2) [- cotx / cosec^2 x] 
= 0 

Plugging in ( 1 ), 
required limit = e^0 = 1 

=>Answer is 1.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
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ASAP PLEASE—-Mackenzie placed 5 pieces in the puzzle for bc every 4 pieces her little brother placed. If Mackenzie’s little brot
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3 years ago
What is the domain of this function? I already tried<br> (-inf,-2) it was wrong.
valkas [14]

Hello!

First off, (-inf, -2) was half of the domain, so you were right on track, but almost there!

Since this function has a vertical asymptote at x = -2, any x-values that are equal to -2 cause the function to be undefined. So, we show that as (-∞, -2) because this function is a continuous function from that interval.

Since this function is also continuous from the interval -2 to ∞, we show that as the second part of our domain; written as (-2, ∞).

Remember that parentheses and brackets have different meanings when using them to state the domain/range of a function. Parentheses are used to <u>not</u> include that value, while brackets are used <u>to</u> include it.

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3 years ago
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Ainat [17]
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6 0
3 years ago
Eighth gradeT.5 Area and circumference of circles CHVThe diameter of a circle is 8 feet. What is the circle's circumference?d=8
Gwar [14]

The circumference of a circle can be calculated using the following formula:

C=\pi d

Where "C" is the circumference of the circle and "d" is the diameter of the circle.

According to the information given in the exercise, the diameter of this circle is:

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Knowing the diameter, you only need to substitute it into the equation. Remember that you need to use

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The answer is:

25.12ft

3 0
1 year ago
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