What is the approach to this limit calculation: lim n → ∞ 2 3 n + 2 2 n + 2 8 n + 1 + 5 n + 100

Question

What is the approach to this limit calculation:      lim          n      →      ∞                          2                  3          n                    +              2                  2          n          +          2                                    8                  n          +          1                    +              5                  n          +          100

hildiadau0o · Accepted Answer

In particular,      lim          n      →      ∞                          2                  3          n                    +              2                  2          n          +          2                                    8                  n          +          1                    +              5                  n          +          100                      =      lim          n      →      ∞                  2              3        n                    8              n        +        1            Proving that this is true is a great exercise and one that I highly encourage. But once we have this result, the rest is trivial since       2          3      n        =      8    n  , so      lim          n      →      ∞                  2              3        n                    8              n        +        1              =      1    8

What is the approach to this limit calculation: <munder> <mo movablelimits="true" form="pref

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