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Mathematik-Online problems:

Problem 103: 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

Test if the limits exist and calculate them, if so.

a) $ {\displaystyle{\lim_{x\rightarrow
2}\left(\frac{1}{2-x}-\frac{12}{8-x^3}\right)}}$          b) $ {\displaystyle{\lim_{x\rightarrow -3}\,\, \frac{x^2-9}{2x^3+54}}}$ c) $ {\displaystyle{\lim_{x\rightarrow 0} \,
\left(\frac{1}{2}\right)^{\!\!-1/x^2}}}$
d) $ {\displaystyle{\lim_{x\rightarrow \frac{\pi}{2}} \, \frac{\sin
2x}{\tan x}}}$ e) $ {\displaystyle{\lim_{x\rightarrow\infty}\,
\frac{\sqrt{x+1}-\sqrt{3x+2}}{\sqrt{x}}}}$             


see also:


[Solutions]

  automatisch erstellt am 19.  1. 2017