Determine whether the series is convergent or divergent by expressing Sn as a telescopic sum (as in example 7). If it is convergent, calculate its sum

Convergent

cos 1 − 1

Step-by-step explanation:

∑ (cos 1/n² − cos 1/(n+1)²)

= lim(n→∞) [(cos 1 − cos 1/4) + (cos 1/4 − cos 1/9) + ... + (cos 1/n² − cos 1/(n+1)²)]

= lim(n→∞) [cos 1 − cos 1/(n+1)²]

= cos 1 − cos 0

= cos 1 − 1

The series converges to cos 1 − 1.

i think asking google will you get the answer to that question

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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