Limit of logarithmic function over polynomial

Find the limit of $\frac{l o g ( 1 + x ^{2} + x ^{4} )}{3 x ^{2} ( 1 - 2 x )}$ as $x \to 0$ .

~5 minAnswer checked instantlylimitslogarithmsseries expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XX. Limiting Values and Vanishing Fractions, Examples XX, No. 12

Stuck? A gentle nudge

Something off?

Workspace

Your answer

Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).