Consider the limit
If the limit can be expressed as , where , enter . If the limit is or , enter -1 or -2, respectively. If the limit is an irrational real number or 0, enter 0.
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7 x + 1 3 − 4 9 x 2 + 1 3 x = 1 3 + 1 7 x − 4 9 x 2 + 1 3 x = 1 3 + 7 x + 4 9 x 2 + 1 3 x 4 9 x 2 − 4 9 x 2 − 1 3 x = 1 3 + 7 x + 4 9 x 2 + 1 3 − 1 3 x = 1 3 + 7 + 4 9 + 1 3 / x 2 − 1 3 lim x → ∞ 1 3 + 7 + 4 9 + 1 3 / x 2 − 1 3 = 1 3 − 1 4 1 3 = 1 4 1 6 9 ⟹ 1 6 9 + 1 4 = 1 8 3