Let x=2. evaluate the expression. x+4/3x

Mathematics

2 answers:

Verdich [7]3 years ago

8 0

Answer:

Step-by-step explanation:

x=2

2+4/3(2)

6/6

babymother [125]3 years ago

3 0

Let x = 2. The solution of x + 4/3x is $\frac{14}{3}$

<u>Solution:</u>

Given expression is $x+\frac{4}{3} x$

Need to evaluate above expression when value of x is 2.

Let say expression $x+\frac{4}{3} x$ be represented by f(x)

$\Rightarrow \mathrm{f}(x)=x+\frac{4}{3} x$ --- equation 1

As we need to evaluate value of f(x) when x = 2, we need value of f(2)

To get f(2) lets substitute x = 2 in equation 1

$\begin{array}{l}{\Rightarrow \mathrm{f}(2)=2+\frac{4}{3} \times 2} \\\\ {=>\mathrm{f}(2)=\frac{14}{3}}\end{array}$

Hence value of expression $x+\frac{4}{3} x$ at x = 2 is $\frac{14}{3}$

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julsineya [31]

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$\displaystyle \lim_{x\to\infty} (\ln(x) - x) = - \lim_{x\to\infty} x = \boxed{-\infty}$

Similarly, $\displaystyle \lim_{x\to\infty} (x-e^x) = - \lim_{x\to\infty} e^x = \boxed{-\infty}$

We can of course see the limits are identical by replacing $x\mapsto e^x$ , so that

$\displaystyle \lim_{x\to\infty} (\ln(x) - x) = \lim_{x\to\infty} (\ln(e^x) - e^x) = \lim_{x\to\infty} (x - e^x)$

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Using the rule, the limit here is

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