For each series below, determine whether the series converges or diverges with a proper test, and write a sentence explaining why you chose the test you used. 1) X[infinity] n=1 n − 1 n3 + 1 2) X[infinity] n=1 (−1)n ln(n) √ n 3) X[infinity] n=1 n 2 e −n 3 4) X[infinity] k=1 1 3 + cos(k) 5) X[infinity] n=1 n! e n2

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

unless if u could do my questions, if not i wouldn't want to

b. x + 1

step-by-step explanation:

i'am smart

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0