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1)

lim (3x^3 + 2x^2)

x->1/3

I factored out x^2, put the x^2 in front of the limit(constant multiple law), plugged in 1/3 into the x's, then multiplied everything together and got 1/3 for my answer. Is the only limit law that can be used the constant multiple law?

2)

lim (3x^(2/3) - 16x^-1

x->8

I don't even see any laws I can use in this, so I just plugged in 8, did the powers and third root of 64, etc etc. and got my final answer to be 10. There must've been a law I could've used, is there?

3)

lim (sqrt(w+2)+1) / (sqrt(w-3)-1)

w->7

I think I'm over-complicating this one, can I just use the quotient law and just plug the w in and solve by dividing top by bottom? This is how I tried to do 3:

multiplied by the top conjugate, so I multiplied top and bottom by sqrt(w+2)-1 and everything just went too big and complicated. Any help?

Thanks so much!