Limits at Infinity...2

[nycmathguy]

Calculus
Section 2.6

 

[MathLover1]

 

[nycmathguy]

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I am curious about the remaining trigonometric functions of x in this case.

What about the same question for cos x, tan x, csc x, sec x, and cot x?

What about the same question applied to all 5 remaining trigonometric functions of x as x tends to negative infinity?

 

[MathLover1]

same

 

[nycmathguy]

same

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It is indeterminate for all trigonometric. Can the reason be oscillation?

 

[MathLover1]

yes, all six standard trig functions don't have a limit since they oscillate into infinity

 

[nycmathguy]

yes, all six standard trig functions don't have a limit since they oscillate into infinity

Understood. I posted Limits at Infinity 6 through 10. I also posted some absolute value questions in the Algebra forum here. I may or may not post a few proof questions today. Let me think about it.