Question

solve 1-10

Explain each detail.

For each of the functions in the list below calculate two quantities fu(a)dr lim. f(x)de Function list: 1. In(x) = x" on [0, 1] n 0<x<1 6. fn(2) = 1o otherwise (0 (n+1)x - " 2. In(x) = 3 -(n+1)x + 0<r<- - sr 3 į<x< 1 + 1 + nti <r<1 * VH1 7. fn(c) = Si 0<x<n 10 otherwise 0 V 0< }<u 8. fn(x) = 1 0 3. Inc 0<< 1 otherwise VI VI In(1-2) V 4. fn(2) = In 0<x< 121 2(1 - 2) 9. fn(x) = 30 otherwise VI VI V VI ſi-n <r<n 5. fn(x) = 3 10 otherwise ſi 0<x< 10. fn(x) = 3 10 otherwise

Answer 1

Answer of Given that Let for each of the functions in the list below calculate two quantities $ boc michae Anculadha UT Now, ② let In (1) = Mon[0,1] . C'm ah Now, lim fn(x) = n * nado ... l'm sooo sinal ? ... I'm Inlx) =% o - nido osnis mido (2) Leto co oza</ lim fn (2)=4 n=2 . 9/240s I ronne[0,1]{12} . l'm In (o)= q i n=Y J. & fn(x) = sne osach -&n(1-x) 1/25031 ro X50117 . lim, fn(x) = 2x ocheld

no O Goach @ som finca) = front fo'ue cond og er en in (a) = fi cesencedy gin(n) = $1 *rvery @ het fin&I=90 asthenoise in of us Now, lim In(x) = { Inw=fn Ocnal to otherwise In(= change Now I'm fren) - f otheroise =f0:4YS RY ® het fincmo - othecaire Mlowo, tm. In () = 6: XER} nd

@ Let In (1) = {n osasta - to otherwise ra .n=0 bo other coise inte ani) you otherwise 0 let fn(x)=si osush fn (2) = %o otheroise s X=0 7. Alim fn(n = to othercots IWUM contro Hence the above problem is solved