Recent content by JennyInTheSky

  1. J

    Undergrad Absolute value theorem that I can't convince myself of

    While reading my text, I came across an inequality that I couldn't convince myself of... For real numbers a,b: \left|a+b|<= |a|+|b|. Is this something proven? Or is it an axiom or something?
  2. J

    Finding the limit of $\frac{\sqrt{x}-2}{x-4}$ as $x\to4^{-}$

    Indeed! Thanks :cool:
  3. J

    Finding the limit of $\frac{\sqrt{x}-2}{x-4}$ as $x\to4^{-}$

    I did not want him to hand me the answer, and I'm glad he didn't. The way he responded just did not seem very cordial to me, but it's fine. Thank you very much to all who helped, I suppose that all this was was failure to do all of the algebra necessary in this problem.
  4. J

    Finding the limit of $\frac{\sqrt{x}-2}{x-4}$ as $x\to4^{-}$

    Thanks, but we have yet to learn derivatives!
  5. J

    Finding the limit of $\frac{\sqrt{x}-2}{x-4}$ as $x\to4^{-}$

    Thanks for your help, but you didn't have to be rude about it. I've had all of four days of high school calculus, so no, I'm not exactly comfortable with everything yet. I realize now that what I needed to use was algebra, but a simple nudge in that direction would have been sufficient, not wild...
  6. J

    Solving One-Sided Limit: lim x→4⁻√x-2/x-4

    Homework Statement lim_{x\rightarrow4^{-}} \frac{\sqrt{x}-2}{x-4} Homework Equations Typical methods used in solving one-sided limit. The Attempt at a Solution I plug in something a little bit smaller than four, like 3.999999 into x, and I get \frac{something a little less than...
  7. J

    Solving One-Sided Limit: lim_{x\rightarrow4^{-}} \frac{\sqrt{x}-2}{x-4}

    Homework Statement lim_{x\rightarrow4^{-}} \frac{\sqrt{x}-2}{x-4} Homework Equations Typical methods used in solving one-sided limit. The Attempt at a Solution I plug in something a little bit bigger than four, like 4.0000001 into x, and I get \frac{something a little less than...
  8. J

    Finding the limit of $\frac{\sqrt{x}-2}{x-4}$ as $x\to4^{-}$

    Homework Statement lim_{x\rightarrow4^{-}} \frac{\sqrt{x}-2}{x-4} Homework Equations Typical methods used in solving one-sided limit. The Attempt at a Solution I plug in something a little bit bigger than four, like 4.0000001 into x, and I get \frac{something a little less than...
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