December 7th, 2010, 11:47 AM  #1 
Newbie Joined: Sep 2010 Posts: 18 Thanks: 0  math analysis
show that f(x) is continuous on R but not differentiable on R f(x) = (x^2 1)sin(1/x1) if x don't equal 1 f(x) = o , if x=1 2/ let f:A?B and C ? B , D ? B prove that ƒ ¹ (C/D) = ƒ ¹ (C)/ƒ ¹(D) 
December 9th, 2010, 05:33 PM  #2  
Senior Member Joined: Apr 2010 Posts: 451 Thanks: 1  Re: math analysis Quote:
IS in exercise No 1 ??  
December 10th, 2010, 10:58 AM  #3 
Newbie Joined: Sep 2010 Posts: 18 Thanks: 0  Re: math analysis
fore q 1 its (x^2  1) sin 1 over (x1) 
December 11th, 2010, 05:07 PM  #4  
Senior Member Joined: Apr 2010 Posts: 451 Thanks: 1  Re: math analysis Quote:
But for the left hand side to be a subset of the right hand side we must have that: if ,THEN ). .........................................OR....... ......(By using the definition of preimage)..................... and ( and ) and . .................................................. ...OR............................................. ......................... and ( and ) and and Now can you curry on from here??  

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