Question

f (2)0.420.4020.4002-3.9-3.99-3.999-4-4.001-4.01-4.11.5039991.53991.89-4.1clear tableDEundefinedlim f(2)lim f(3) =---4-lim f() =エラー4f(-4) = -4

Answer 1

Given,

the table for the different values of x and there function value is shown in table.

here,

The function value of f(-3.999) is 0.4002.

So,

`\lim _(x\to-4^-)f(x)=0.4002`

As, -3.999 is the closest value of -4 in negative.

Similarly,

The function value of f(-4.001) is 1.503999.

So,

`\lim _(x\to-4^+)f(x)=1.503999`

As, -4.001 is the closest value of 1.503999 in positive.

`\lim _{x\to-4^{}}f(x)=-4`

Hence, the value of lim x-> -4^- is 0.4001, lim x-> -4^+ is 1.503999 and lim x-> -4 is -4