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Math Help - Prove limit with epsilon-delta definition.

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    Prove limit with epsilon-delta definition.

    lim x -> 2 sqrt.(4x + 5 ) = sqrt.(13)

    i have trouble proving limits with radicals. can anyone please explain clearly the steps?


    i know at one point delta = d = min{1, e/8}

    i have no idea what that means. and how to use it for the final answer.
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  2. #2
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    Quote Originally Posted by NeedHelp18 View Post
    lim x -> 2 sqrt.(4x + 5 ) = sqrt.(13)

    i have trouble proving limits with radicals. can anyone please explain clearly the steps?


    i know at one point delta = d = min{1, e/8}

    i have no idea what that means. and how to use it for the final answer.
    http://www.mathhelpforum.com/math-he...ta-proofs.html
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    i read that. but it didnt show anything with radicals.

    can someone explain how to do the problem i posted? thank you.
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  4. #4
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    Go to this website Wolfram|Alpha
    In the input window, type in this exact expression: limit sqrt[4x+5] as x to 2 (you can copy & paste)
    Click the equals bar at the right-hand end of the input window.
    Be sure you click ‘show steps’ to see the solution
    .
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