Skillnad mellan versioner av "2.3a Lösning 3c"

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:<math> \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) \, = \, 21\,+\,74\cdot \lim_{x \to \infty} \left(0,86\,^x\right) \, = \, 21\,+\,74\cdot 0 \, = \, 0 </math>
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:<math> \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>
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:<math> \, = \, 21\,+\,74\cdot \lim_{x \to \infty} \left(0,86\,^x\right) \, = \, 21\,+\,74\cdot 0 \, = \, 21\,+\, 0 \, = \, 21 </math>

Versionen från 7 september 2014 kl. 15.16

\[ \lim_{x \to \infty}\, f(x) \, = \, \lim_{x \to \infty} \left(21\,+\,74\cdot 0,86\,^x\right) \, = \, 21\,+\,\lim_{x \to \infty} \left(74\cdot 0,86\,^x\right) \, = \, \]

\[ \, = \, 21\,+\,74\cdot \lim_{x \to \infty} \left(0,86\,^x\right) \, = \, 21\,+\,74\cdot 0 \, = \, 21\,+\, 0 \, = \, 21 \]