G11 SUPER GIO
123
03
CHALLENGE MISSIONsequences, series, convergence, and approximation

sequences, series, convergence, and approximation

INDEPENDENT DEFENSEINDEPENDENT TRANSFER

Taylor error decision

Approximate e^0.2 with 1+x+x^2/2. The next-term estimate is about e^0.2(0.2^3/6)<0.0017.

  1. The polynomial gives 1.22.
  2. Bound the neglected remainder.
  3. Compare error to the requested tolerance 0.002.

Which defense is correct?

MODELConvergence Forge
CALC
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.