Taylor Series Calculator — Expand Functions as Power Series
Compute Taylor series of common functions like e^x, sin(x), cos(x) around any center point. Adjust the expansion order for accurate polynomial approximation.
✓ Formula verified: May 2026
Taylor Series
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Taylor Polynomial
1
Individual Terms
1
Number of Terms
1
f(0) ≈
▲ 1
Scenario Comparison
Conservative (5%)
$16,470.09
$6,470.09 interest
Your scenario (7%)
$20,096.61
$10,096.61 interest
Aggressive (10%)
$27,070.41
$17,070.41 interest
High-risk (14%)
$40,224.71
$30,224.71 interest
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Taylor Series Results
Taylor Polynomial
1
Original Function vs Taylor Approximation (center = 0)
f(x) originalTaylor Pn(x)
f(0) ≈
1
Individual Terms
1
Number of Terms
1
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