Recent content by toslowtogofast2a

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    Trying To Use Squeeze Theorem To Prove Derivatives Are Equal

    Below is the question and my attempt at a solution. From the info in the problem I tried to use the squeeze thm to show limf(x)=limg(x)=limh(x) all as x goes to a. Then that combined with f(a)=g(a)=h(a) I used to say all 3 derivatives are equal. Is my attempt below correct or did I make an error...
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    Proving an Inequality: x+y>=2sqrt(xy)

    Thanks for the reply the proof in that link is the exact proof that was in my book. Since mine was different I started to question if I went wrong somewhere.
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    Proving an Inequality: x+y>=2sqrt(xy)

    thanks for the link. that makes sense.
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    Proving an Inequality: x+y>=2sqrt(xy)

    See the attached image for my attempt. My main concern is can I assume that y > x prove it for that case and then show it is equal if y = x. My whole proof is centered around y > x so if i cannot make that assumption then I have to start over. Let me know your thoughts. Thanks in advance for...
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    Proof Using Mean Value Theorem

    Thanks for the reply. I was doing problem 29.14 out of elementary analysis by ross. When I finished the problem I googled the problem solution and got the link below. problem 29.14 is on the second page. thst is the solution i read before posting here...
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    Proof Using Mean Value Theorem

    Thanks for the reply. I agree that is easier and makes sense.
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    Proof Using Mean Value Theorem

    See my image for my attempt at solving this problem. My approach varies significantly from the solution I have for this problem and I wanted to get feedback on if what I did is correct of where I went wrong. thanks.
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    Prove Continuity From Precise Definition of Limit

    Thanks for posting that. I have not learned that way yet but it is a good tool to have in my bag. It is a nice solution to the problem and pretty concise
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    Prove Continuity From Precise Definition of Limit

    Thanks for taking the time to help me with this
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    Prove Continuity From Precise Definition of Limit

    @FactChecker Thanks for the reply. I agree I let out details and was unclear. I tried to be more detailed and clear about my structure in image below. Is this better.
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    Prove Continuity From Precise Definition of Limit

    I attached my attemp at the solution. I am trying to start with continuity at 0 and end up with limit of f(x) equals f(c) as x goes to c. Could someone take a look at the attached image and let me know if I am on the right track or where I went astray Sorry picture is rotated I tried but...
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