Solve any maths problem

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

Calculus · Limits

Limit of n/(n + 1) as n → oo

\lim_{n \to \infty} \frac{n}{n + 1}

Step by step

  1. \lim_{n \to \infty^+-} \frac{n}{n + 1}

    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. \frac{1}{1 + \frac{1}{n}}

    Divide numerator and denominator by n^1.

  4. = 1

    Take the limit.

Reveal the answer
1