calculus · worked example

Solve lim x→3 of x²+1

Method: direct substitution. Verified step-by-step solution with our free AI math solver.
Problem

lim⁡x→3(x2+1)\lim_{x \to 3}(x^2 + 1)

Step-by-step solution

  1. f(x)=x2+1f(x) = x^2 + 1 is a polynomial — continuous everywhere.

  2. Direct substitute: lim⁡x→3(x2+1)=32+1=10\lim_{x \to 3}(x^2 + 1) = 3^2 + 1 = 10.

Answer

1010

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