Saved Bookmarks
| 1. |
The value of f(0), so that the function f(x)=((27-2x)^(1//3)-3)/(9-3(243+5x)^(1//5)),(xne0) is continuous at x=0, is given by |
|
Answer» `(2)/(3)` `f(0) = underset(xrarr0)lim f (x) = underset(xrarr0)lim ((27-2x)^(1//3)-3)/(9-3(243+5x)^(1//5))` `("from"(0)/(0))` `=underset(xrarr0)lim((1)/(3)(27-2x)^(-2//3)(-2))/(-(3)/(5)(243+_5x)^(-4//5)(5))=2` |
|