G(x)= (x+1)(x+3)Q(x) + px +q
a) Given that G(x) leaves a remainder of 8 and −24 when divided by (x+1) and
(x+3) respectively,find the remainder when G(x) is divided by (x+1)(x+3).
b) Given that x+2 is a factor of G(x) and that the graph of G(x) passes through
the point with coordinates (0,6) find G(x)
Which of the series converge and
which diverge? Check by the limit
comparison test.
1) Σ_(n=2) ^∞ ((1+n ln(n))/(n^2 +5))
2) Σ_(n=1) ^∞ ((ln(n))/n^(3/2) )
3) Σ_(n=3) ^∞ (1/(ln(lnn)))
4) Σ_(n=1) ^∞ (1/(n (n)^(1/n) ))
??