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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

Critical Points Calculator

Finds the x-coordinate of the critical point (vertex) of a quadratic function ax² + bx + c by setting its derivative equal to zero. Use it to locate the maximum or minimum of any parabola instantly.

x² Coefficient (a)

x Coefficient (b)

Fill in the required fields to see your result.

Key differences

	Limit Calculator	Critical Points Calculator
Category	Calculus	Calculus
Inputs required	5	2
Result	Limit Value	Critical Point x-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.	Finds the x-coordinate of the critical point (vertex) of a quadratic function ax² + bx + c by setting its derivative equal to zero. Use it to locate the maximum or minimum of any parabola instantly.