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Geometry

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Limit & derivative

Math symbol

 
f(x)= . Show its limit, when x ->0.
Show the limit of 2lnx+,when x ->0.

Get line segment OQ in x axis and makes it equal to the length of chord OP of  curve y=x ^2which passes through O. Make line PQ. It intersects y axis in R. When P move to O, where will R go?.

f(x)= . Find the slope of  graph of f(x) at point 1.
Show the derivative of y=3x-.