Suppose that the value V of a certain product decreases, or depreciates, with time t (in months) where V ( t ) = 200 − 30 t 2 ( t + 3 ) 2 Find lim t → ∞ V ( t )

Question

Suppose that the value V of a certain product decreases, or depreciates, with time t (in months) where  V  (  t  )  =  200  −            30              t        2                    (      t      +      3              )        2            Find       lim          t      →      ∞        V  (  t  )

Spielgutq1 · Accepted Answer

Answer:  V  (  t  )  =  200  −            30              t        2                    (      t      +      3              )        2                    lim          t      →      ∞        v  (  t  )  =      lim          t      →      ∞        200  −      lim          t      →      ∞                  30              t        2                    (      t      +      3              )        2                =  200  −      lim          t      →      ∞            30          (      1      +              3        t                    )        2                =  200  −  30    =  170

Suppose that the value V of a certain product decreases, or depreciates, with time t (in months) where V(t)=200-(30t^2)/((t+3)^2). Find lim_(t=>infty)V(t)

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