Evaluate r0 and determine if r is an even or an odd

Question

Question: Let

f(x) = ₂∫^x (1/ln t)dt for x ≥ 2

(a) Evaluate R(0) and determine if R is an even or an odd function.

(b) Is R increasing or decreasing?

(c) What can you say about concavity?

(d) Sketch a graph of R(x).

(e) Show that limx→∞(R(x)/x2) exists and find its value.