Gerd imee acaden e ge erat mathematics &stat tistics 39. which of the following sets of functions r to r is a vector space over r? s, =f|lim f(x) = 0 sg lim g (

gerd imee ACADEN E GE ERAT MATHEMATICS &STAT TISTICS 39. Which of the following sets of functions R to R is a vector space over R? S, =f|lim f(x) = 0 Sg lim g (x) = 1 S, ={h |limh (x) exists 3 (a) Only S, (b) Only S, e S, and S, but not S (d) All the three are vector spaces