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Evaluating limit using algebraic manipulation

Assignment:

Assume x -> infinity has all the properties of limits, using algebraic manipulation evaluate the limit

lim
x -> infinity

f(x)= x^4 + 3x / x^4 + 2x5

x^... means to the power of

Please show work.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Evaluating limit using algebraic manipulation

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