1. [Python question: submit a printout of your answer.] Consider the sequence an=14n2577sinn+8n2. (a) Use Python to find a candidate for the limit L of this sequence. Produce a plot illustrating the behaviour of this sequence. Make sure to choose an appropriate data range for your plot. (b) For =5001, use Python to find the smallest N such that aNL<. for="5001," use python to find a candidate the smallest m such that anl all nm. produce plot in by choosing an appropriate data range illustrating your answer part>