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Math Help - limit does not exist

  1. #1
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    limit does not exist

    skectch the graph y=cos(pie/x) over the interval (-.1,0.01)
    the calculator comes up with an inaccurate graph. We have been studying sequences and I'm sure using them is the key to solving this problem.

    THis is for my calc. 2 class.
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  2. #2
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    Quote Originally Posted by horsejumper View Post
    skectch the graph y=cos(pie/x) over the interval (-.1,0.01)
    the calculator comes up with an inaccurate graph. We have been studying sequences and I'm sure using them is the key to solving this problem.

    THis is for my calc. 2 class.
    Hello,

    the function is not defined for x = 0. you'll find all further considerations in the attached image:
    Attached Thumbnails Attached Thumbnails limit does not exist-oscill_cos.gif  
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  3. #3
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    THanks! but there more...

    ok i can do that but the next question asks, how many times does the function osxillate between -1 and 1.
    How do i figure that out?
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  4. #4
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    Quote Originally Posted by horsejumper View Post
    ok i can do that but the next question asks, how many times does the function osxillate between -1 and 1.
    How do i figure that out?
    Hello,

    take the limit with z → ∞. If z is an integer cos(π*z) is either 1 or -1. If z → ∞ there are unlimited many times of oscillation
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