# calculus

posted by .

Determine whether f '(0) exists.

f(x) = {xsin(10/x) if x can not = 0
0 if x=0

• calculus -

consider the function g(x)=sin(10x)/x as x>>inf clearly this has a limit of zero.

Is this not the same function in the limit as f(x)?

• calculus -

You can prove that limx>0 of (f(x)=limx>inf f(1/x)

I should have made that clear.

## Similar Questions

1. ### Literaure Question-Desperate For Help!

It is not wise to rely on the ________ to determine whether a stereotype exists in a book. title, illustrations, book's format, or copy-right date I do not know how to answer this question. My text says do not rely on the date of publication …
2. ### Literaure Question-Desperate For Help!

It is not wise to rely on the ________ to determine whether a stereotype exists in a book. title, illustrations, book's format, or copy-right date I do not know how to answer this question. My text says do not rely on the date of publication …
3. ### Chemistry

how does the position of a metal in the periodic table determine whether the element exists in nature as an oxide, a carbonate, or a sulfide?
4. ### math

Let f be he real-valued function defined by f(x)=sin^3x+sin^3|x| (a) find f'(x) for x>0 (b) find f'(x) for x<0 (c) determine whether f(x) is continuous and x=0 (d) determine whether the derivative of f(x) exists at x=0
5. ### calculus

integrate xsin(2x)dx=
6. ### Calculus

Find dy/dx by implicit differentation. ysin(x^2)=-xsin(y^2)
7. ### calculus

considering that x is the independent variable in this equation: y + y^3 + 3 = e^y^2 + 3^x * cos(3y) - x Evaluate dy/dx I get to: dy/dx (1+3y) = e^y^2 * 3y^2 * dy/dx + 3^x * ln3 * (-sin(3y)) * 3 *dy/dx -1 Will it give me?
8. ### Calculus

use law of cosines to show that theta equals inverse cosine of (a^2 + b^2 -484)/(2ab) where a^2=(7+xcos a)^2 + (28-xsin a)^2 and b^2=(7+xcos a)^2 + (xsin a -6)^2
9. ### Trig

Can you show us how to use law of cosines to show that theta equals inverse cosine of (a^2 + b^2 -484)/(2ab) where a^2=(7+xcos a)^2 + (28-xsin a)^2 and b^2=(7+xcos a)^2 + (xsin a -6)^2?
10. ### Calculus

Determine the following limits if it exists. a. lim x-->5 (4x/x-5)

More Similar Questions