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Answer:

The answer to your question is 1

Explanation:

Data

lim x - x³ + x⁵

x⇒∞ 1 - x² + x⁴

Process

1.- Divide by the term with the highest exponent

lim x/x⁵ - x³/x⁵ + x⁵/x⁵

x⇒∞ 1/x⁴ - x²/x⁴ + x⁴/x⁴

2.- Simplify

lim 1/x⁴ - 1/x² + 1

x⇒∞ 1/x⁴ - 1/x² + 1

3.- Evaluate when x⇒ ∞

lim 0 - 0 + 1

x⇒∞ 0 - 0 + 1

4.- Simplify

lim 1 = 1

x⇒∞ 1

5.- Result

lim 1

x⇒∞

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