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Limits and L'Hopital's Rule

Find the indicated limit make sure you have a indeterminate form before you apply L'Hopital rule

(1) lim xgo to0 arctan3x/arcsinx
(2) lim x go to pi/2 3secx+5/tanx
(3)lim x go to 0 2csc^2x/cot^2x
evaluate dx/squrtpix a=0 andb=inifinity

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Limits and L'Hopital's Rule are investigated. The solution is detailed and well presented.