Find the limit: lim t → 0 ( e − 8 t − 1 t , t 7 t 8 − t 7 , 5 7 + t )

Question

Find the limit:      lim          t      →      0        (                    e                  −          8          t                    −      1        t    ,            t      7                      t        8            −              t        7              ,      5          7      +      t        )

Izabella Henson · Accepted Answer

Use L`Hospital Rule       lim          t      →      0        (                    e                  −          8          t                    −      1        t    )  =  −  8        lim          t      →      0        (            t      7                      t        8            −              t        7              )  =      0    0          lim          t      →      0        (            t      7                      t        7            (      t      −      1      )        )  =      1          0      −      1        =  −  1        lim          t      →      0            5          7      +      t        =      5    7

Find the limit lim_(t->0)((e^(-8)-1)/(t), (t^7)/(t^8-t^7),(5)/(7+t))

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