Advanced Math

Limit Calculator

Finds exact limits of polynomial and rational expressions by direct substitution, by factoring and cancelling a common (x − a) when substitution gives 0/0, and by comparing leading terms at ±∞. One-sided limits and vertical asymptotes are handled. It also knows the standard limit sin(kx)/(mx) → k/m as x → 0.

Inputslim x→a f(x)

f(x)Polynomials and fractions of polynomials, e.g. (x^2 − 1)/(x − 1), (3x^2 + 1)/(x^2 − 5), or sin(3x)/(2x).x approachesA number, a fraction, inf or −inf.Direction

Step-by-step

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Fill in the fields and press Solve. The full method will appear here, one numbered step at a time.

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