make-the-given-changes-in-the-indicated-examples-of-this-section-and-then-solve-the-resulting-pr-429

Question

Make the given changes in the indicated examples of this section and then solve the resulting problems.
In Example $2,$ change the denominator $5 x$ to $5 \ln x$

Gregory Higby · Accepted Answer

All right. We are redoing this problem. The limit as X goes to infinity of the numerator stays the same three E. To the two X. But we&#x27;re rewriting the denominator as five natural log of X. Yeah. So in this problem, if we were to think about what happens for both these functions they eat to the two X. Uh as we&#x27;re going, that&#x27;s what that graph looks like. So alright. And for numerator and the five natural log effect looks like this. That&#x27;s the denominator. So they are both going infinitely. Uh So we do have we still have the indeterminate form of infinity over infinity to do low petals rule. So what we need to do is take the derivative of the top. So it&#x27;s going to be equal to the limit limits the same thing. But the derivative of the top of the 6E. to the uh two X. That&#x27;s using the Chambal. And the derivative of the bottom of the five divided by X. The derivative of natural log is one of rex. So that&#x27;s now equal to the limit as X goes to infinity of well six fists. But when you&#x27;re dividing by the X and the denominator, think about multiplying by the reciprocal. So it&#x27;s going to go into the numerator X. E. To the two X. Um So in this case the derivative is going infinitely up. Um but I think it would be safe to say because in order for a limit to exist, it needs to equal numerical value. So we usually just use this phrase. The limit does not exist. DNA means does not exist.

Ankit Gupta · Answer

So I have a longer at the Magee question given to me as a Lennix buying us three Ellen X minus five plus Ln X plus five. So, obviously by no, we are familiar with the base. The bases, he over here. So this is Ln X minus three times. I&#x27;ll apply the addition rule over here, first of all, so that is Ln X minus five in tow, X plus five. So I can see. This is Ellen off. X minus three Ellen off X squared, minus five square. That is 25 on for the simplification. It is Helen X minus. This three will go into the exponents off excess square minus 25. So this becomes whole killed. So finally I lose the subtraction property. So I love this as Ellen off X divided way X squared minus 25 Whole cube. So I hope it&#x27;s clear this is my answer. Thank you.

Katie Elliott · Answer

we&#x27;re told to rewrite sense of to Ellen of X in exponential form and simplify as much as possible. So since cinch of to Ellen of X is e tu a tu melon of X minus e to the negative to Ellen of ex all over too. We can rewrite this using explain it powers. So they get Ito, Ellen of X, the whole thing squared minus e to the Ellen of X. The whole thing to the Mayas to power all over too. Since eat the Allen of Axe is just acts we get X squared minus one over X squared all over too. Simplifying this by multiplying both numerator and denominator. My ex, Where&#x27;d we get X The fourth, minus one over two?

Sujit Kumar · Answer

but Alan Murdoch&#x27;s into the days off five. So basically, let 30 equals two supposing t equals two and the l N moored X and by this logic based over the DJ obviously natural logarithms so we can write it into the power t equals more decks. And now taking, taking mm log to the best five. Both the side side sides, which makes which makes it a log five into the poverty equals log five more decks on which means t would be out off Their sortie will basically become log five more decks upon log five and this is the against, okay.

Amy Jiang · Answer

Okay, so we want to write this as a single long. So it&#x27;s supper rating are coefficients in front of her natural log as powers. So just a sort of hard to. This is three sets, strip artery and always those that we have this course sign. That&#x27;s a product rule and our product rose year as well, so we can hear this as the natural log of five times X squared and in times X squared, plus five to the power of three.

Amy Jiang · Answer

That&#x27;s the rule to rewrite the following equation with invasive five. Why don&#x27;t we use our change of pace for you? That is, if we have, um, Ogg based A of B. We can write this as log of any base five of be Over Log based five they So that gives us well, Owen, that&#x27;s law based e of the optionally rex. So we get log based five of B, which is our obsolete value of X all over log based e of and note that log with E V, which is equal to one. So we get laws base five of the absolute value of X.

Problem

Make the given changes in the indicated examples …

Problem 1 Easy Difficulty

Make the given changes in the indicated examples of this section and then solve the resulting problems.
In Example $2,$ change the denominator $5 x$ to $5 \ln x$

Answer

$\infty$

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Grace H.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus