Calc 1 Limits

[warm kestrel]

Is my solution correct? The answer key is kind of confusing.

[chrome phoenix]

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[versed hearth]

You switched to cos(x), but it should've been cos(3x).

[warm kestrel]

ohh whoops

should the ans be x=3/5

[versed hearth]

No, since in the resulting simplifications you get sin(3x)^2, not just sin(3x).

Anyway, I'd just simplify the numerator to tan(3x)^2, and after that you can get the answer instantly.

[warm kestrel]

ahh okay gotcha

also would you mind looking at one more soln for this q?

[versed hearth]

Your mistake is that you assumed √(4x^2 - 11) = x√(4 - 11/x^2).

That's not correct. Rather, √(4x^2 - 11) = |x|√(4 - 11/x^2).

And since we're looking at x -> -∞, think of what |x| will be.

[warm kestrel]

understood, tysmm!!

+close

[silk belfry]

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[versed hearth]

You're welcome!

[silk belfry]

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