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Limits and Implicit Differentiation

Please show your work for the next 5 questions.

1. Lim (as x approaches 0) csc x (sec^2 x -1)
2. Use implicit differentiation to find an equation of the line tangent to the curve x^2 + y^2 at the point (3,-1)
3. Lim ( as x approaches infinity) of x^2+1 / square root of (x^4) + 1
4. 2 methods to find dy/dx from x^3 + y^3 =1
5. Use implicit differentiation to find an equation of the line tangent to xy=12 at the point (4,3)

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