- #1
khurram usman
- 87
- 0
first of all i don't know anything about this epsilon and delta method.explain this a bit.
secondly i have been given a problem involving this method:
f(x)=x^2
given: limit x-->2 [x^2] = 4
a) what is the value of x' such that f(x')= 4 + .01? find [itex]\delta[/itex]=x'-2
b) what is the value of x[itex]_{2}[/itex] such that f(x[itex]_{2}[/itex])=4- .01? find [itex]\delta_{2}[/itex]=2-x[itex]_{2}[/itex]
and finally from both of the values of delta prove that limit is equal to 4 at x->2
i don't understand where to start.guide me
secondly i have been given a problem involving this method:
f(x)=x^2
given: limit x-->2 [x^2] = 4
a) what is the value of x' such that f(x')= 4 + .01? find [itex]\delta[/itex]=x'-2
b) what is the value of x[itex]_{2}[/itex] such that f(x[itex]_{2}[/itex])=4- .01? find [itex]\delta_{2}[/itex]=2-x[itex]_{2}[/itex]
and finally from both of the values of delta prove that limit is equal to 4 at x->2
i don't understand where to start.guide me