## When is it sufficient to use logic as proof for an intuitive answer

Say I have the following limit limx→∞3xex−1 In this case it’s simple enough to write it as \lim_{x\rightarrow\infty}{3^x}{e^{1-x}} and then show it approaches infinity, but if there wasn’t an easy algebraic solution would it be sufficient to state something along the lines of: 3^x approaches infinity more quickly e^{x-1} because 3 is larger than e … Read more