Or if you have an entire topic you would like to see me write a lesson about, just let me know. The equation of a piecewise function is written with a curly bracket to indicate that it is comprised of more than one subfunction. Leave a comment below or email me at If you have questions on this problem and solution or if you have another question you would like to see me answer, just ask it. This would in turn make \(f(x)\) differentiable for all values of \(x\), or make it differentiable everywhere.Īs always, I want to hear your questions! Go check out my other lessons about derivatives and if you can’t get your question answered, I’d love to hear from you. To make sure \(f(x)\) is continuous at \(x=-1\) we need to make sure that $$\lim_\) will also make sure \(f(x)\) is differentiable at \(x=-1\). A piecewise defined function is a function defined by at least two equations (pieces), each of which applies to a different part of the domain. Im wondeirng if I need to adjust my limits im using in my piecewise function so they are in terms of t or if I can leave it in the current form and am missing something else. Our limits calculator with steps helps users to save their time while doing manual. Limit calculator with steps is a online tools which is developed by Calculatored to make these calculations easy. One needs to do a lot of practice to learn limit functions and its calculations. I’m not going to go into quite as much detail to show the part about making sure the function is continuous because I have already done this, which you can see by clicking here. Limit function belongs to difficult concepts of mathematics. If x c is inside an interval but is not a restricted value, the limit is f(c). Making sure f(x) is continuous everywhere There are multiple cases for finding the limit of a piecewise function.
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