determine if the following are correct or wrongso
if correct prove if not then show counter example:
a)if and for then
couldnt find counter example ,i thought f(x)=x but there is not g(x)
to desprove it
b) for x>0
i was told told to use the theore, of lagrange
in which the derivative in some point is the slope between two points
but i dont know how to use it
c)f(x) if bound from the top on (0,1{]}
if f(x) is continues from the left of x=1 then sup f((0,1))>=f(1)
d)if f(x) is integrabile on {[}a,b{]} and if
then there is
so
determine if the following are correct or wrong
if correct prove if not then show counter example:
a)if and for then
couldnt find counter example ,i thought f(x)=x but there is not g(x)
to desprove it
b) for x>0
i was told told to use the theore, of lagrange
in which the derivative in some point is the slope between two points
but i dont know how to use it
c)f(x) if bound from the top on (0,1{]}
if f(x) is continues from the left of x=1 then sup f((0,1))>=f(1)
d)if f(x) is integrabile on {[}a,b{]} and if
then there is
(a)
I like your idea. How about ?
(d)
is the following function continuous?
if so you can use the intermediate value theorum, as its trivial to show that there are values of g(c) on either side of 1.