Solve any maths problem

Equations, derivatives, integrals, matrices, triangles, primes, statistics, or a word problem the tutor breaks into parts.

Calculus · Limits

Limit of sinh(n)/n^2 as n → oo

\lim_{n \to \infty} \frac{\sinh{\left(n \right)}}{n^{2}}

Step by step

  1. \lim_{n \to \infty^+-} \frac{\sinh{\left(n \right)}}{n^{2}}

    Try direct substitution first.

  2. \

    As x grows without bound, compare the fastest-growing terms (or divide top and bottom by the highest power).

  3. = \infty

    Take the limit.

Reveal the answer
\infty