Raja-arvo
https://peda.net/id/7ec704dc6
2015-10-04T15:14:43+03:00
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Määritä seuraavat raja-arvot
https://peda.net/id/bd5be7de6
2015-10-06T14:49:45+03:00
[[$ \frac{x+1}{x} $]]<br/>
<a href="http://www.codecogs.com/eqnedit.php?latex=\frac{x+1}{x}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\frac{x+1}{x}" title="\frac{x+1}{x}"/></a><br/>
Raja-arvo äärettömyydessä<br/>
1. <br/>
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<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;\infty}&space;\enspace&space;\frac{x^{2}+3x-4}{x}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;\infty}&space;\enspace&space;\frac{x^{2}+3x-4}{x}" title="\large \lim_{ x \to \infty} \enspace \frac{x^{2}+3x-4}{x}"/></a><br/>
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2. <br/>
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<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;\infty}&space;\enspace&space;\frac{x^{2}+3x-4}{2x^{2}}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;\infty}&space;\enspace&space;\frac{x^{2}+3x-4}{2x^{2}}" title="\large \lim_{ x \to \infty} \enspace \frac{x^{2}+3x-4}{2x^{2}}"/></a><br/>
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3.<br/>
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<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;\infty}&space;\enspace&space;\frac{x^{2}+3x-4}{x^{3}}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;\infty}&space;\enspace&space;\frac{x^{2}+3x-4}{x^{3}}" title="\large \lim_{ x \to \infty} \enspace \frac{x^{2}+3x-4}{x^{3}}"/></a><br/>
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Epäoleellinen raja-arvo<br/>
4. a)<br/>
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<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;2+}&space;\enspace&space;\frac{x-4}{(x-2)^{2}}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;2+}&space;\enspace&space;\frac{x-4}{(x-2)^{2}}" title="\large \lim_{ x \to 2+} \enspace \frac{x-4}{(x-2)^{2}}"/></a><br/>
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b)<br/>
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<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;2-}&space;\enspace&space;\frac{x-4}{(x-2)^{2}}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;2-}&space;\enspace&space;\frac{x-4}{(x-2)^{2}}" title="\large \lim_{ x \to 2-} \enspace \frac{x-4}{(x-2)^{2}}"/></a><br/>
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c)<br/>
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<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;2}&space;\enspace&space;\frac{x-4}{(x-2)^{2}}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;2}&space;\enspace&space;\frac{x-4}{(x-2)^{2}}" title="\large \lim_{ x \to 2} \enspace \frac{x-4}{(x-2)^{2}}"/></a><br/>
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5. a)<br/>
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<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;2+}&space;\enspace&space;\frac{x-4}{x-2}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;2+}&space;\enspace&space;\frac{x-4}{x-2}" title="\large \lim_{ x \to 2+} \enspace \frac{x-4}{x-2}"/></a><br/>
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b)<br/>
<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;2-}&space;\enspace&space;\frac{x-4}{x-2}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;2-}&space;\enspace&space;\frac{x-4}{x-2}" title="\large \lim_{ x \to 2-} \enspace \frac{x-4}{x-2}"/></a><br/>
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c)<br/>
<a href="http://www.codecogs.com/eqnedit.php?latex=\large&space;\lim_{&space;x&space;\to&space;2}&space;\enspace&space;\frac{x-4}{x-2}" target="_blank" rel="nofollow ugc noopener"><img src="http://latex.codecogs.com/gif.latex?\large&space;\lim_{&space;x&space;\to&space;2}&space;\enspace&space;\frac{x-4}{x-2}" title="\large \lim_{ x \to 2} \enspace \frac{x-4}{x-2}"/></a><br/>
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2015-10-04T15:23:37+03:00