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Both calculators run independently — change the inputs on either side to compare results.

Limit Calculator

Compute the limit of a rational function (numerator_coeff · x^numerator_power) / (denominator_coeff · x^denominator_power) as x approaches a given value via direct substitution. Returns infinity when the denominator evaluates to zero.

Numerator Coefficient

Numerator Power

Denominator Coefficient

Denominator Power

x approaches

Fill in the required fields to see your result.

Calculus

Taylor Series Calculator

Approximates the value of common functions (eˣ, sin x, cos x, ln x) using their Taylor series expansion around a chosen center point. Ideal for understanding polynomial approximations and truncation error in numerical analysis.

Function Type

Center Point (a)

Evaluate at x

Number of Terms

Precision

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Key differences

	Limit Calculator	Taylor Series Calculator
Category	Calculus	Calculus
Inputs required	5	5
Result	Limit Value	Taylor Series Value
What it does	Compute the limit of a rational function (numerator_coeff · x^numerator_power) / (denominator_coeff · x^denominator_power) as x approaches a given value via direct substitution. Returns infinity when the denominator evaluates to zero.	Approximates the value of common functions (eˣ, sin x, cos x, ln x) using their Taylor series expansion around a chosen center point. Ideal for understanding polynomial approximations and truncation error in numerical analysis.