3 years ago

Please answer ASAP Solve: 4y – 8 – 2y + 5 = 0

Mathematics

1 answer:

aev [14]3 years ago

5 0

The answer would be y=3/2

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Given that lim x→1 (5x − 3) = 2, illustrate definition 2 by finding values of δ that correspond to ε = 0.1, ε = 0.05, and ε = 0.

kow [346]

$\displaystyle\lim_{x\to1}(5x-3)=2$

is to say that for any $\varepsilon>0$ , we can find $\delta>0$ such that $0$ implies $|(5x-3)-2|$ .

To that end, we have

$|(5x-3)-2|=|5x-5|=5|x-1|$

which means that if $\varepsilon=0.1$ is given, then we can choose $\delta=\dfrac{0.1}5=0.02$ ; if $\varepsilon=0.05$ , then $\delta=\dfrac{0.05}5=0.01$ ; if $\varepsilon=0.01$ , then $\delta=\dfrac{0.01}5=0.002$ .