Question: We let c ER, C 1 be a real number. We consider the following equation: (1 c) m 1 - cm (a) Prove by

We let c ER, C 1 be a real number. We consider

We let c ER, C 1 be a real number. We consider the following equation: (1 c) m 1 - cm (a) Prove by induction that the above equation holds for all natural numbers m N. (b) Explain where in your proof you used that c 1. (c) Show that the equation doesn't hold for all m and c E R.

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