Question

Kindly help with a step by step explanation on this maths problems. 

Limits: 

1) lim when x approaches 2  ;  (x^3 - 6x + 2) / (x^2 + x + 9)

2) lim when x approaches 0  ;  [(x-2)^3 + 8)] / 8

3) lim when x approaches infinity  ;  sqrt (x+1-1) / x

 

Differentiation:

1) y = (x-1) sqrt x^2 - 2x + 2

2) y = sqrt(x-1) / sqrt(x+1)

3) y = e^ln(x^2+1)

4) y = xe^(x^2+1)

 

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Limits

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