Calculus Solutions Ex#1.3

Q.09 Solution: $$\lim_{x \rightarrow+\infty}\left(1+2 x-3 x^5\right)=\lim_{x \rightarrow+\infty}\left(-3 x^5\right)=-\infty$$ This is because the behavior of a polynomial matches the end behavior of its highest degree term. Q.10 Solution: $$\lim _{x \rightarrow+\infty}\left(2 x^3-100 x+5\right)=\lim_{x \rightarrow+\infty} 2 x^3=+\infty.$$ $ \quad \left(2 x^3\right.$ is the highest degree term). Q.11 Solution: $$\quad \lim_{x \rightarrow+\infty} \sqrt{x}=\sqrt{\lim_{x \rightarrow+\infty} x}=+\infty$$. Q.12 Solution: $$\lim … Read more