lim _{x rightarrow-10^{+}}(x+16) frac{|x+10|}{x+10}

Question

Accepted Answer

Step:1 ：The limit is approaching from the right side of -10. The absolute value function |x+10| will be positive when x is greater than -10 and negative when x is less than -10. Since we are approaching from the right side of -10, the value of x will be slightly greater than -10, so the absolute value function will be positive.Step:2 ：Therefore, the function can be simplified to ((x+16)(1) = x+16).Step:3 ：Now we can substitute -10 into the simplified function to find the limit.Step:4 ：Substituting, we get (-10 + 16 = 6).Step:5 ：Final Answer: (boxed{6})

Answer

Step: 1 ：The limit is approaching from the right side of -10. The absolute value function |x+10| will be positive when x is greater than -10 and negative when x is less than -10. Since we are approaching from the right side of -10, the value of x will be slightly greater than -10, so the absolute value function will be positive.Step: 2 ：Therefore, the function can be simplified to ((x+16)(1) = x+16).Step: 3 ：Now we can substitute -10 into the simplified function to find the limit.Step: 4 ：Substituting, we get (-10 + 16 = 6).Step: 5 ：Final Answer: (boxed{6})

$\lim _{x \rightarrow-10^{+}}(x+16) \frac{|x+10|}{x+10}$

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