a) Using limit rules each of the following limits \lim_{x\rightarrow0}\frac{x+1}{x} \lim_{x\rightarrow0}\frac{x+1}{x^{2}} \lim_{x\rightarrow0}\frac{x}{x+1} \lim_{x\rightarrow0}\frac{x+1}{x+2} b) Using limit rules evaluate \lim_{x\rightarrow2}\frac{\sqrt{x+7}-3}{x-2}

coexpennan

coexpennan

Answered question

2021-05-27

a) Using limit rules each of the following limits
limx0x+1x
limx0x+1x2
limx0xx+1
limx0x+1x+2
b) Using limit rules evaluate limx2x+73x2

Answer & Explanation

likvau

likvau

Skilled2021-05-28Added 75 answers

Step 1
limx0x+1x0+1010
limx0x+1x20+10210
limx0xx+100+1010
limx0x+1x+20+10+212
Step 2
limx2x+73x2
limx2(x+73)(x+7+3)(x2)(x+7+3)
limx2(x+79)(x2)(x+7+3)
limx2(x2)(x2)(x+7+3)
limx21x+7+3
12+7+319+3
13+3
16

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