112. True, or false? Give reasons for your answers.
e. s...

Question

112. True, or false? Give reasons for your answers.

e. sec^(-1)x = O(1)

Accepted Answer

Determine whether the statement is true or false. Cotangent in verse X equals O of 1. True or false. Now this statement just tells us there exists a positive constant M. And the value x0 such that for all x greater than x. We have the absolute value of FX divided by G of X. This is less than equals to the affirmation constant m. Now, since G of X is equal to 1 based on our equality, we have the absolute value cotangent inverse of X is less than or equals to m. Now we know cotension inverse of X has a range bound between 0 and pi. We can write this out as the limit x approaches infinity. Of cotangent inverse x equals 0. And the limit x versus infinity cotangent inverse X. Equals P And this is for negative infinity on our limit. Now both limits are finite constants, so cotenient inverse x does not grow without bounds. In other words, it stays between 0 and pi. So, we can then say M as equals to pi. And for all x. The absolute value cotangent inverse x is less than equals the pi. Based on our equality And the fact that cotangent is less than some arbitrary constant m. We can confirm our statement cotangent inverse x equals o of 1 to b. True. This means the answer to our problem is answer A. OK, I hope to help you solve the problem. Thank you for watching. Goodbye.

112. True, or false? Give reasons for your answers.e. sec^(-1)x = O(1)

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112. True, or false? Give reasons for your answers.
e. sec^(-1)x = O(1)