Positive: sin, csc Negative: cos, ' ( Piecewise function " ) sketch a fully labelled graph of f(xx ) x 2 + 2 x x 5 1 4 - x 1 2 x 2 3 Un - 3 b) Evaluate the following limits re they exist i) lime ( x ) ii) limfcx ) ini ) lim e (x ) iv fix ) x - > 7+ x -7 3 x - + 2 2 ) find the derivative of ec = ) 3 - x from first principles 3 ) for the functions fox ) = e , determine the equation of the tangent line at the point (# , 7 ) compute the following limit tim x -727 3 1 x - 3 "Het f'(x) = artbate, determine the values for a, b and C so that f( x ) has a local maximum at ox = 3, a local minimum at of = -5 and ( " ( 3 ) = - 8