Frequently Asked Questions
Everything you need to know about the Taylor Series Calculator.
How does the Taylor series calculator work?
Enter a function, a center point, and the order, and it computes each derivative term and builds the series step by step.
Is it free?
Completely free, no sign-up, downloads, or limits.
What's the difference between a Taylor and Maclaurin series?
A Maclaurin series is a Taylor series centered at 0; leave the center at 0 to get it.
Does it show the general term formula?
For common functions it recognizes (e.g. e^x, sin x), yes โ alongside the worked-out terms.
How many terms can I expand to?
Up to order 10, which keeps both computation and the step list readable.
Does it graph the approximation?
Yes, it overlays the original function and the Taylor polynomial so you can see how closely they match.
What if the function isn't differentiable at the center?
The calculator detects this and explains why a series can't be built there.
Does it tell me the radius of convergence?
For recognized standard series, yes; otherwise it's omitted rather than guessed.
Is my input stored anywhere?
No; everything runs in your browser and isn't stored or sent anywhere.
Does it work on mobile?
Yes, fully responsive, including the graph and step-by-step panel.