Let c ER be a given constant. Consider (x+y-1) sin(x) x + (y - 1) f(x,...

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Let c ER be a given constant. Consider (x+y-1) sin(x²) x² + (y - 1)² f(x, y) = (x, y) = (0, 1) (x, y) = (0, 1) (i) Find the limit of f as (x,y) → (0, 1) along the ray x = 0, y < 1, along the ray y = 1, x > 0, and along the ray y = 1 -mx, m> 0, x > 0. (ii) Discuss the continuity of f at (0, 1) when c varies in R. Let c ER be a given constant. Consider (x+y-1) sin(x²) x² + (y - 1)² f(x, y) = (x, y) = (0, 1) (x, y) = (0, 1) (i) Find the limit of f as (x,y) → (0, 1) along the ray x = 0, y < 1, along the ray y = 1, x > 0, and along the ray y = 1 -mx, m> 0, x > 0. (ii) Discuss the continuity of f at (0, 1) when c varies in R.