Question

g(x) = lim log(2+x) – x2n sinx If then n- 1+ x2n explain why this function does not vanish everywhere in o TT 0, although g(0) and TC g differ in sign. 2​

Answer 1

Let f(x)=lim_(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) . then