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Using Ea + Sx) dx lim (1 + Sx;) Ax, we have lim (1 + 5(-2 a))r = lim 42 Eg]I2o]20|Step 4Now,lim42(-9 204) lim Ax -9 22]But20i20 ~9 +andtep...

Question

Using Ea + Sx) dx lim (1 + Sx;) Ax, we have lim (1 + 5(-2 a))r = lim 42 Eg]I2o]20|Step 4Now,lim42(-9 204) lim Ax -9 22]But20i20 ~9 +andtep

Using Ea + Sx) dx lim (1 + Sx;) Ax, we have lim (1 + 5(-2 a))r = lim 42 Eg] I2o] 20| Step 4 Now, lim 42(-9 204) lim Ax -9 22] But 20i 20 ~9 + and tep



Answers

Limits Evaluate the following limits. Use l'Hópital's Rule when it is comvenient and applicable. $$\lim _{x \rightarrow-1} \frac{x^{4}+x^{3}+2 x+2}{x+1}$$

Here we have to evaluate the limits of limit we have here. The limits. His ex goes to negative one x to the fourth plus extra deferred plus two X plus two over X plus one. So if we use direct substitution, just get 0/0 so we can use a little toes rule because we have 0/0. So just take the derivative when one just X ghost Negative one of the top. So for X Cube cost three X Square plus two over the derivative of the bottle one. And so here we can use direct substitution. Just plug in negative one for the X values and we get thanks for close three plus two Sequels one.

To find the summit. We're gonna first start by plugging in a negative one. So we have negative one to the 4th plus negative one to the third plus two times negative one plus two. So negative one to the fourth would be a positive one, negative one to the third being negative one. So they would negate each other and two times negative was negative two plus the positive two and lose this with zero and then negative one plus one. In the denominator is also a zero. So that is our indeterminant form. And we will do little beetles roll. So that gives us four x to the third plus three X square plus two for the derivative of the top And the denominator derivative is one. And then we plug in the -1. Four times negative one to the third plus three times negative one squared plus two, -1 to the 3rd is -1 times four is negative.

We have to find this limit and we can write it like this. Price of limit exchange to one have X plus limit extends to one G x and in the question that it has given the limited extends to one. If X is minus one minus five. So it will be two and two minus five. Plus this valley is forced. It will because two of minus six. I hope you understood Sudan, sir. Thank you.

Sure you live in Lets you is a pinto X limit extends to infinity. 01 plus 1/2 X over X is equal to one plus one over you. What were you over to? Which is equal to Ah through limits of you tends to infinity. Ah, one plus one over two X. So what do you Uh huh is it was two e brought, huh? You with inferior five point And for a date? Uh, question. Be ah, let you easy with through X limit of rex tends to zero over one plus two x over one over X, which is equal to limit you in ST zero. Oh, plus you for over you equal to what Plus you were one over you for a brooch is equal to people to using a fear Also 5.10 point 0.8


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