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Mathematik-Online problems:

Problem 440: Limits of Functions

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Find the limit (if it exists).
(a)
$ {\displaystyle \lim_{x \to 4} \; \frac{x-4}{x^2-16}}$ .
(b)
$ {\displaystyle \lim_{x \to 0} \; \frac{\sqrt{x+4}-2}{x}}$ .
(c)
$ {\displaystyle \lim_{x \to {-5}^+} \; \frac{\lvert{x+5}\rvert}{x+5}}$ .
(d)
$ {\displaystyle \lim_{\Delta t \to 0} \; \frac{(t+\Delta t)^2 - 6(t+\Delta t) - (t^2-6t)}{\Delta t}}$ .
(Author: Rafee )

see also:

[Solutions]
  automatisch erstellt am 13. 12. 2007