Question: Consider the piecewise function f(x) = ( 7x 2, x 1 kx^2 , x > 1) (i) Evaluate f(1) (ii) Find lim x1 f(x) (iii)

Consider the piecewise function f(x) = ( 7x 2, x 1 kx^2 , x > 1)

(i) Evaluate f(1)

(ii) Find lim x1 f(x)

(iii) Find lim x1+ f(x)

(iv) Find a value of the constant k, if possible, that will make the function continuous everywhere

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