Question 7 0 / 1 point If _ an 2" is convergent then the series _ (-1 ) an must be convergent as well. True x . False Question 8 0.5 / 2 points Consider the function f defined by f (x ) = (-1)n-1 (x - 1 )". n n=1 Select all statements that are true. You will earn points for each answer correctly selected and correctly left blank. = x Of(2) is defined, x Of (0) is defined, - x Of' (x) = f (1.5) ~ 0.5 - (0.5)2 2 = with an error of at most 24Question 1 0 / 1 point It is known that the infinite series 90 + 90 90 90 14 24 34 44 + ... is convergent to It# . What is the smallest integer n that guarantees the n-th partial sum of this series approximates it* to within 3 X 10-? 10 42 100 impossible to decide O 75 X . 41 infinitely many terms are needed 71