Consider the following limit$.$

lim

$x7$

$(3x7)$

Find the limit $L.$

$($a$)$

Find $>0$ such that

$[f(x)-1]<mn>0</mn><mn>.</mn><mn>0</mn><mn>1</mn>$ whenever

$($b$)$

Find $>0$ such that

whenever

Step $1$

Find the limit $L$ by substituting in the appropriate value for $x.$

$L=28$

Correct: Your answer is correct.

seenKey $28$

Step $2$

$($a$)$

Find $>0$ such that

$[f(x)-1]<mn>0</mn><mn>.</mn><mn>0</mn><mn>1</mn>$ whenever

Consider the inequality

Replace $f(x)$ and $L$ with the appropriate values.