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Limit describes value function approaches as input approaches some value: lim(x→a) f(x) = L. Foundation of calculus.

ଷ୍ଟେପ୍-ଷ୍ଟେପ୍ ଗାଇଡ୍ |

  1. 1Input function and point
  2. 2Calculate limit by substitution, factoring, L'Hôpital's rule, or numeric approximation
  3. 3Results show limit value

ସମାଧାନ ହୋଇଥିବା ଉଦାହରଣ

ଇନପୁଟ୍
lim(x→2) (x²-4)/(x-2)
ଫଳ
= lim(x→2) (x+2) = 4 (factor to remove discontinuity)

ଏଡ଼ାଇବା ଯୋଗ୍ୟ ସାଧାରଣ ଭୁଲ

  • Direct substitution when undefined (0/0)
  • Not checking left and right limits

ବାରମ୍ବାର ଜିଜ୍ଞାସା

When does limit not exist?

If left/right limits differ, oscillates, or diverges to infinity.

ସେଟିଂ