Let ax², x < 1 f(x) = 1, x = 1 COS TX, x > 1 Find the value of a, such that lim f(x) exists and is finite. x 1

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?

b. Find lim (x/x²+1=x²)