To solve:

Question

asked 2021-05-14

Evaluate the limits using algebra and|or limit properties as needed

asked 2021-05-27

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 \(\lim_{x\rightarrow2}\frac{\sqrt{x+7}-3}{x-2}\)

\(\lim_{x\rightarrow0}\frac{x+1}{x}\)

\(\lim_{x\rightarrow0}\frac{x+1}{x^{2}}\)

\(\lim_{x\rightarrow0}\frac{x}{x+1}\)

\(\lim_{x\rightarrow0}\frac{x+1}{x+2}\)

b) Using limit rules evaluate \(\lim_{x\rightarrow2}\frac{\sqrt{x+7}-3}{x-2}\)

asked 2021-05-31

Find the limit and discuss the continuity of the function. \(\displaystyle\lim_{{{x},{y}}}\rightarrow{\left(-{1},{2}\right)}{\frac{{{\left({x}+{y}\right)}}}{{{\left({x}-{y}\right)}}}}\)

asked 2021-06-28

Find the limit (if it exists) and discuss the continuity of the function. \(\displaystyle\lim_{{{x},{y}}}\rightarrow{\left({1},{1}\right)}{\frac{{{x}{y}}}{{{x}²+{y}²}}}\)