1.prove or desprove by example:

a)

b)prove or desprove that 'uniformly' continuous in R

c)if f(x) monotonicly decreasing in and then f(x)>0 for

d)f,g are continues in [a,b] if then f=g in [a,b]

regarding the first one i couldnt find a value for which the supremum is 1

for part a) i cant say if its correct or not

?