G11 SUPER GIO
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LEARN MISSIONlimits, continuity, and asymptotic behavior

limits, continuity, and asymptotic behavior

WORKED MODELWORKED SOURCE

Repair the hole at x = 2

For x != 2, f(x) = (x^2 - 4)/(x - 2); f(2) = k. Factor to get f(x) = x + 2 near x = 2. Both one-sided limits are 4.

  1. Cancel only for x != 2.
  2. lim x->2 f(x) = 4.
  3. Continuity requires the value to match the limit.

What value of k makes f continuous?

MODELLimit Beacon
CALC
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.