Let be a positive integer. Let be defined by: For . Determine the range of and decide if it is injective.
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Originally Posted by mathematicalbagpiper Let be a positive integer. Let be defined by: For . Determine the range of and decide if it is injective. By the binomial theorem we know that Using this we get Remember that is a constant for each value of k. This should get you started
Oh, that makes things work out beautifully. Thanks!
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