What is the limit as t approaches 2 of t^3i+t^4j+t^5k ?

The limit as t approaches 2 of t^3i+t^4j+t^5k is (16j+32k)+8i

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limit as t approaches 2 of t^3i+t^4j+t^5k

t \to 2 lim (t^{3} i + t^{4} j + t^{5} k)

(16 j + 32 k) + 8 i

Solution steps

t \to 2 lim (t^{3} i + t^{4} j + t^{5} k)

Plug in the value

t = 2

= 2^{3} i + 2^{4} j + 2^{5} k

Simplify

2^{3} i + 2^{4} j + 2^{5} k : (16 j + 32 k) + 8 i

= (16 j + 32 k) + 8 i

What is the limit as t approaches 2 of t^3i+t^4j+t^5k ?
The limit as t approaches 2 of t^3i+t^4j+t^5k is (16j+32k)+8i