MediumLimits

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.6 Limits, #34 · Calculus · Limits

For … find (a) … (b) … (c) … (d)

For $f (x) = 6 x^{3} + 1000 x$ find
(a) $lim_{x \to \infty} \frac{f ( x )}{x}$
(b) $lim_{x \to \infty} \frac{x ^{2}}{f ( x )}$
(c) $lim_{x \to \infty} \frac{x}{f ( x )}$
(d) $lim_{x \to \infty} \frac{f ( x )}{x ^{3} + 1}$

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.6 Limits, #34

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.