Recent content by LOLItsAJ

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    Finding the acceleration of a car based on a velocity vs time plot

    Homework Statement Homework Equations Unsure, maybe v2-v1/t2-t1?The Attempt at a Solution I assumed taking the difference between the final point in the graph and the first one and got 1.53m/s2 as an answer, but I'm not sure at all. Should i take the differences between all the gears and then...
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    Prove using the formal definition of a limit

    Homework Statement Prove using the formal definition of a limit that Lim x→4 x2 = 16 Homework Equations |f(x)-L| and |x-c| Using epsilon/delta definition. The Attempt at a Solution I've got that |x2-16| = |x-4||x+4| I'm also pretty sure only |x-4| matters, since it is the same...
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    Why does Lim as x approaches infinity of x/(x-9) = 1?

    Homework Statement Limit as x approaches infinity of x/x-9 Homework Equations None The Attempt at a Solution I know the indeterminate form infinity/infinity happens. I don't know how to fix it, but I'm assuming it's quite simple...
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    Using the squeeze theorem to solve a limit

    It's your second one. I'm a bit confused by the format used on the forum.
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    Using the squeeze theorem to solve a limit

    Homework Statement I have a limit, which when substitution is used the indeterminate form 0/0 occurs. I've been asked to solve the limit by using the squeeze theorem. I really have no idea where to take this. Homework Equations Lim (x^2-9)(x-3/|x-3|) x\rightarrow3 The Attempt...