<span> i'm going to be slightly extra careful in showing each step. specific, ln [n / (n+a million) ]= ln n - ln(n+a million). So, we've sum(n=a million to infinity) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) [ln n - ln(n+a million)] = lim(ok--> infinity) (ln a million - ln 2) + (ln 2 - ln 3) + ... + (ln ok - ln(ok+a million)) = lim(ok--> infinity) (ln a million - ln(ok+a million)), for the reason that fairly much all the words cancel one yet another. Now, ln a million = 0 and lim(ok--> infinity) ln(ok+a million) is countless. So, the sum diverges to -infinity. IM NOT COMPLETELY SURE
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Greater than means it can only be greater than the value give for example x is greater than 10, x can only be a number greater than 10. Greater than or equal to is similar because the answer can be greater than the value given or equal to it. For example x is greater than 10, x could be equal to 10 or any value greater than it.
Answer:
Step-by-step explanation:
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ha
Answer:
b
Step-by-step explanation:
Using the trigonometric identities
cot x =
and tan x =
thus
+ tanΘ × cosΘ
=
+
× cosΘ
= cosΘ ×
+ sinΘ
= sinΘ + sinΘ
= 2sinΘ → b
Answer:
rule
Step-by-step explanation: