What does exponentially mean

Free word lists and quizzes from Cambridge. Tools to create your own word lists and quizzes. Word lists shared by our community of dictionary fans. Sign up now or Log in. Definitions Clear explanations of natural written and spoken English.

Click on the arrows to change the translation direction. Follow us. Choose a dictionary. Clear explanations of natural written and spoken English. So this is going to go on for ever.

The first factor I have to divide by is 1 which of course makes no difference. Actually factorials grow a lot faster than exponentials. The factorial of a number is indicated by a an exclamation mark in maths, perhaps because they grow so remarkably fast. Try evaluating the factorial of on a calculator…. So now. A really good guess at the answer would be an infinite series of bits where you have an increasingly high power of a number, and divide by its factorial.

That is, this:. Each time we take the derivative, we move everything down the line to the left by one place. Try it, it works. So the claim is that this infinite series of bits adds up to a finite number, and it is true because the factorial bit we divide by grows faster that the power on the top, whatever number we choose for x. We can also learn more about this weird series of number by trying some examples.

Everything is 0 except the first bit. This is interesting. We have to work out each term… and we get. Quite a special number. Save Word. Definition of exponential. Examples of exponential in a Sentence The business has experienced several years of exponential growth. Prices have increased at an exponential rate.

Recent Examples on the Web In August, as vaccination rates slumped and the Delta variant was driving an exponential increase in new cases, the government issued vaccine mandates for schools, public employees, and some parts of the private sector, including restaurants. First Known Use of exponential , in the meaning defined at sense 1. Learn More About exponential.

Time Traveler for exponential The first known use of exponential was in See more words from the same year. From the Editors at Merriam-Webster. Browse explosively. Test your vocabulary with our fun image quizzes. Image credits. Word of the Day have a heart of gold. Blog Outsets and onsets! Read More. November 08, To top.

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Sign up now or Log in. Definitions Clear explanations of natural written and spoken English.