Find the leading behaviour of given integrals
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our input: find the end behavior of f(x)=x4−5x3+4x2+7x+1.
Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is x4, then the degree is 4, i.e. even, and the leading coefficient is 1, i.e. positive.
This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→
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