Question

Lim x* sen(1/x) when x goes to 0. I did and obtain 1, but, in the book, the answer is 0!

Answer 1

Did you use a substitution?

Answer 2

Just keep in mind, if you perform the following substitution

\[ u = \frac{1}{x} \] you want to change the limit that is being approached, in order to get the correct answer. When x approaches infinity, u goes to zero.

Otherwise, use a Series representation.

Answer 3

Which is Series representation?

Answer 4

Do this is wrong?
\[\lim_{x \to 0} \frac{sin(1/x)}{1/x}=1\]

Answer 5

0 is the answer

Answer 6

that is not the answer. :(
You can use the squeeze thm for this.

Answer 7

@rainaby .....Don't just give answers man.

Answer 8

no its simple see for any x sin(x) is finite and multiply it with 0 u get 0 as answer