Turn in #1 is due Thursday, Sept. 15, 2016!
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Any ideas by what it means by "redefine the function so that it is continuous"? From the limits of peacewise functions worksheet?
ReplyDelete- Chance S.
I stated that you weren't to do those questions. Only the limits.
DeleteOn #57 on the turn-in #1, how do I prove that there is no value L for which the limit approaching infinity is sin(x)=L? What is L?
ReplyDeleteL is a limit (a real number). You have to explain why sin(x)doesn't have a limit when it approaches infinity
DeleteEstelle is correct. Also, think about Friday's group work. Can you pick two arbitrarily close y values such that sinx will always remain inside them for sufficiently large x?
DeleteFor p64 #53 on the book work for the turn in, should we use linear lines for our sandwich theorem, or a different kind of function?
ReplyDeleteLinear functions may not work, but other types of polynomials will...
DeleteFor #1 on the turn-in where it says justify your steps, does that mean we have to give a written explanation for each step?
ReplyDeleteNo. See the handout on the website regarding "showing work" on the AP.
DeleteSince we know the limit of cosx and we proved six/x with the sandwich theorem and the limit is multiplication we can separate the limit to find the answer. Check on your graph if needed.
ReplyDeleteFor bookwork page 81 number 42 should there be any work done to prove the answer or just an explanation?
ReplyDeleteFor 2a on the turn in I think the function has to be a parabola in order to have f(x)=1 twice, but I'm not sure how to figure out the equation for the parabola in order to solve for k. Any tips? (Sam Zerafa)
ReplyDeleteUnless I am over thinking it and any positive value for x works as long as I explain why.
DeleteAny positive number greater than 1 works because ivt proves that anything greater than 1 will work between the intervals of the other points.
Delete-Andrew Saad
How do you solve #41 on page 81? I know that you have to find the number that multiplies by two to equal a linear line that touches the point at which x^2 -1 stops, but I'm lost as to how to get there.
ReplyDeletesolve the first equation for 3 input as x, and then put that answer = to the second equation to solve for a.
Delete- Andrew Saad