If $a>0$ and $b>0,$ a new operation $ abla$ is defined as follows:$$a abla b = rac{a + b}{1 + ab}.$$For example,$$3 abla 6 = rac{3 + 6}{1 + 3 imes 6} = rac{9}{19}.$$Calculate $(1 abla 2) abla 3.$

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Mathematics, 20.09.2020 05:01 seth3336

If $a>0$ and $b>0,$ a new operation $\nabla$ is defined as follows:$$a \nabla b = \frac{a + b}{1 + ab}.$$For example,$$3 \nabla 6 = \frac{3 + 6}{1 + 3 \times 6} = \frac{9}{19}.$$Calculate $(1 \nabla 2) \nabla 3.$

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If $a>0$ and $b>0,$ a new operation $\nabla$ is defined as follows:$$a \nabla b = \frac{a + b}...