## Calculus: Early Transcendentals (2nd Edition)

a) First Four Terms: $-1, 0, -1 ,0$ b) Limit doesn't exist
$$\sum_{k=1}^{\infty} (-1)^k$$ Part A) $a_1 = (-1)^1 = -1$ $a_2 = (-1)^2 = -1 + 1 = 0$ $a_3 = (-1)^3 = 0 + (-1) = -1$ $a_4 = (-1)^4 = -1 + 1 = 0$ Part B) Limit doesn't exist because the partial sums are simply alternating between the values $-1$ and $0$, and does not approach a single value.