8. A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co-ordinates. The rectangular co-ordinate equation of the curve is given by x? + y? = (2x² + 2y² – x)² - find the equation of the tangent to this curve at the point (0, 5)

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A: By geometric series sum formula,           ∑n=1∞ -1011n-1=11+1011=1121 So, the series converges.