Cj1213 limit of cos x*ln x as x approaches 0+ one year ago one year ago

1. satellite73

what is $\lim_{x\to 0^+}\cos(x)$?

2. Cj1213

times ln (x)

3. satellite73

i am just asking if you know $\lim_{x\to 0^+}\cos(x)$?

4. Cj1213

oh um isnt it just 1

5. satellite73

yes

6. satellite73

since cosine is continuous and $$\cos(0)=1$$

7. satellite73

and what is $$\lim_{x\to 0^+}\ln(x)$$ ?

8. Cj1213

when I did it I got 0 but i wasnt sure if that was right

9. satellite73

oh no it is $$-\infty$$

10. satellite73

so you end up with $$-\infty$$

11. Cj1213

oh okay thanks

12. satellite73

yw