Can you help me solve this problem set? I'm having trouble with solving these.

1. (4 pts) Find a function f on [3, 8] such that the limit below is equal to I: f (2:) day. n 5?} 5 - E _ .-3-%._ nhm 1+ln(3+n) e n. 3:1 6: 2. (3 pts) Find EU x/l +73 ctr] dm m2 3. (4 pts) Find [27\"(23 + I)\"5 do: 4. Let my) 2 f 97:2 dt 0 (a) (1 pt) Find F'(m). (b) (3 pts) Find the intervals where F is concave up and the intervals where F is concave down. (hint: dilferentiate the formula for F'(m) to get F\"(m)) :r: 5. (8 pts) A function f is graphed below. Let 9(3) 2 f f(t) (it. 2 (a) (2 pts) Find the interval or intervals where g is decreasing. (b) (4 pm) Find 9(4), 9(0): 9(1), and 9(2)- (c) (2 pts) Find the inection points of g. 6. (5 pts) Find [(2 + 2)\\/1 2 dz