Lim x->~ x+1 / 2x + √x^2+X

limx→∞ x/√x^2 + 1/√x^2
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limx→∞ 2x/√x^2 + √limx→∞ x^2/x^2 + x/x^2

limx→∞ x/x + 1·1/x
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limx→∞ 2x/x + √limx→∞ 1 + limx→∞ 1/x

limx→∞ 1 + limx→∞ 1·1/x
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limx→∞ 2 + √limx→∞ 1 + limx→∞ 1/x

1 + 1·0
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2 + √1 + 0

1+0
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2+1

=1/3