Let $x_{n}$ converges to a and $y_{n}$ converges to b. Then prove that

$$z_{n} = frac{2bx_{n}+2ay_{n} – 2x_{n}y_{n} + ab}{3}$$

Proof that $z_n$ convergent to $ab$

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# Used the definition of convergent proof $z_n$ convergent

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Let $x_{n}$ converges to a and $y_{n}$ converges to b. Then prove that

$$z_{n} = frac{2bx_{n}+2ay_{n} – 2x_{n}y_{n} + ab}{3}$$

Proof that $z_n$ convergent to $ab$

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