Fitzpatrick 2 unit worked solutions? oh and i need help on limits (1 Viewer)

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I was wondering if there were worked solutions for this book. I searched around the site, i found the thread but it doesnt seem to be showing the posts. So this is kinda urgent if anyone has it because i want to make use of these 6 week holidays.

Oh and can someone explain to me how to show that the limit does not exist:

a) lim 1/x
x--> 0

b) lim f(x) where f(x) = ( x when x>0
x--> 0 <
( x + 1 when x<0

would the method of showing the limit does not exist be any different if x was approaching a number other than 0.

 

[Bored Of Fail]

I was wondering if there were worked solutions for this book. I searched around the site, i found the thread but it doesnt seem to be showing the posts. So this is kinda urgent if anyone has it because i want to make use of these 6 week holidays.

Oh and can someone explain to me how to show that the limit does not exist:

a) lim 1/x
x--> 0

b) lim f(x) where f(x) = ( x when x>0
x--> 0 <
( x + 1 when x<0

would the method of showing the limit does not exist be any different if x was approaching a number other than 0.

a. cannot divide by zero, when we sub in x=0 we end up dividing by zero, or they probably want the slightly better answer, as x->0 from the negative side we have a large negative function value , when x-> 0 from the positive side we have a large positive function value, these are not equal ( obviously ) , the left and right hand limits are not equal, so the limit doesnt exist

b. when x approaches 0 from the left ( ie negative side , where x<0 ) we have a function value of x+1= 0+1 = 1

but when it approaches from the right, the function value= x = 0

the functions values ( or what they call "left hand" and "right hand" limits ) are not equal, so the limit doesnt exist