diberikan f(t) = $$ 2t^2+5\text{ jika t}<0,\text{ dan }\frac{1-3t^3}{1-4t+5t^3} $$jika $$ {{\displaylines t\ge0.\text{ dapatkan }\lim_{x\rightarrow-\infty}f\left(t\right)\text{ dan }\lim_{x\rightarrow+\infty}f\left(t\right)}} $$

Diberikan f(t) = 2t^2 + 5 jika t < 0, dan $ \frac{1-3t^3}{1-4t+5t^3} $ jika $ t \ge 0 $. Dapatkan $ \lim_{t \rightarrow -\infty} f(t) $ dan $ \lim_{t \rightarrow +\infty} f(t) $.

Explore how to find the limits of a piecewise function defined by a polynomial and a rational function. This problem involves evaluating $ \lim_{t \rightarrow -\infty} f(t) $ and $ \lim_{t \rightarrow +\infty} f(t) $ and covers key calculus concepts such as limits and the behavior of functions at infinity. Suitable for students in Grades 11-12.

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