2.3a Lösning 3c

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\[\begin{array}{rcl} \displaystyle \lim_{x \to \infty}\, f(x) & = & \displaystyle \lim_{x \to \infty} \left(21\,+\,74\cdot 0,86\,^x\right) \, = \, \displaystyle 21\,+\,\lim_{x \to \infty} \left(74\cdot 0,86\,^x\right) \, = \, \\ & = & \displaystyle 21\,+\,74\cdot \lim_{x \to \infty} \left(0,86\,^x\right) \, = \, 21\,+\,74\cdot 0 \, = \, 21\,+\, 0 \, = \, 21 \end{array}\]