Is that actually what is in your book? It is incorrect. What is true is that , of course. And . So . That is, the first "3" is not inside the cube root.
Question. Find 25^1/3 with precision of 3 decimals.
My book says:
Then we can say:
I didnt understand the logic. I mean, how did he go from the first affirmation to the second?
Thanks in advance,
I don't agree with Plato's reply on two counts.
First with the standard approximation stated, how do you know whether or not you will get three decimal accuracy ? You might get lucky (with the size of the correction term), but really, you need at least one more term in the Taylor expansion.
Secondly I don't think that the title is misleading.
We can write and now use the standard Binomial expansion for