Skillnad mellan versioner av "2.3a Lösning 3c"
Från Mathonline
Taifun (Diskussion | bidrag) m |
Taifun (Diskussion | bidrag) m |
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| Rad 1: | Rad 1: | ||
| − | :<math>\begin{array}{rcl} \lim_{x \to \infty}\, f(x) & = & \lim_{x \to \infty} \left(21\,+\,74\cdot 0,86\,^x\right) \, = \, 21\,+\,\lim_{x \to \infty} \left(74\cdot 0,86\,^x\right) \, = \, \\ | + | :<math>\begin{array}{rcl} \displaystyle \lim_{x \to \infty}\, f(x) & = & \displaystyle \lim_{x \to \infty} \left(21\,+\,74\cdot 0,86\,^x\right) \, = \, \displaystyle 21\,+\,\lim_{x \to \infty} \left(74\cdot 0,86\,^x\right) \, = \, \\ |
| − | & = & 21\,+\,74\cdot \lim_{x \to \infty} \left(0,86\,^x\right) \, = \, 21\,+\,74\cdot 0 \, = \, 21\,+\, 0 \, = \, 21 | + | & = & \displaystyle 21\,+\,74\cdot \lim_{x \to \infty} \left(0,86\,^x\right) \, = \, 21\,+\,74\cdot 0 \, = \, 21\,+\, 0 \, = \, 21 |
\end{array}</math> | \end{array}</math> | ||
Nuvarande version från 1 november 2016 kl. 15.06
\[\begin{array}{rcl} \displaystyle \lim_{x \to \infty}\, f(x) & = & \displaystyle \lim_{x \to \infty} \left(21\,+\,74\cdot 0,86\,^x\right) \, = \, \displaystyle 21\,+\,\lim_{x \to \infty} \left(74\cdot 0,86\,^x\right) \, = \, \\ & = & \displaystyle 21\,+\,74\cdot \lim_{x \to \infty} \left(0,86\,^x\right) \, = \, 21\,+\,74\cdot 0 \, = \, 21\,+\, 0 \, = \, 21 \end{array}\]
