Limit as x approaches 0 of csc3x/cotx

1 answer:

6 0

Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.

For instance, we can find the lim by using the number -.00001 for x and solve
<span>csc(3x) / cot(x)
</span>csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3

We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3

So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3

<span> $\lim_{x\to 0} \frac{csc(3x)}{cot(x)} = \frac{1}{3}$ </span>

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The area of a rectangle is 12.65 m^2. the length measures 5.5 m. what is the width of the rectangle?

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Answer:

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Step-by-step explanation:

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