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Infinite Limits

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Determine the infinite limit

#1)lim x-1/x^2(x+2)
x->0,

#2)lim csc x
x->pi -,

#3)lim ln(x-5)
x->5+,

#4)lim 6/x-5
x->5-

#4) The slope of the tangent line to the graph of the exponential function y= 2^x at the point (0,1) is limx->0(2^x - 1)/x. Estimate the slope to three decimal places.

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Infinite limits are found. The solution is detailed and well presented.

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