Problem 1 (Linear Spaces):. Let 2 denote the set of real-valued infinite sequences, (.) Which of the following subsets of R* are linear subspaces? Prove your assertion. 1. z R such that (r.), is convergent. 2. -This is not limen subspacer R such that there exists a real constant & R for which zr, for all i- *(i+1)= kxi

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