calculus
posted by Anonymous .
Determine whether f '(0) exists.
f(x) = {xsin(10/x) if x can not = 0
0 if x=0

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)? 
You can prove that limx>0 of (f(x)=limx>inf f(1/x)
I should have made that clear.
Respond to this Question
Similar Questions

Literaure QuestionDesperate 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 copyright date I do not know how to answer this question. My text says do not rely on the date of publication … 
Literaure QuestionDesperate 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 copyright date I do not know how to answer this question. My text says do not rely on the date of publication … 
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? 
math
Let f be he realvalued function defined by f(x)=sin^3x+sin^3x (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 
calculus
integrate xsin(2x)dx= 
Calculus
Find dy/dx by implicit differentation. ysin(x^2)=xsin(y^2) 
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? 
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 + (28xsin a)^2 and b^2=(7+xcos a)^2 + (xsin a 6)^2 
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 + (28xsin a)^2 and b^2=(7+xcos a)^2 + (xsin a 6)^2? 
Calculus
Determine the following limits if it exists. a. lim x>5 (4x/x5)