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Magazine Problem 256
Determine whether there is an asymptote at \(x=a\). Justify your answer without graphing on a calculator. \(f(x)=\frac{x+1}{x^{2}+5 x+4}, a=-1\)
Problem 257
Determine whether there is an asymptote at \(x=a\). Justify your answer without graphing on a calculator. \(f(x)=\frac{x}{x-2}, a=2\)
Problem 257
For the following functions \(f(x), \quad\) determine whether there is an asymptote at \(x=a\) . Justify your answer without graphing on a calculator. $$ f(x)=\frac{x}{x-2}, a=2 $$
Problem 258
For the following functions \(f(x), \quad\) determine whether there is an asymptote at \(x=a\) . Justify your answer without graphing on a calculator. $$ f(x)=(x+2)^{3 / 2}, a=-2 $$
Problem 258
Determine whether there is an asymptote at \(x=a\). Justify your answer without graphing on a calculator. \(\quad f(x)=(x+2)^{3 / 2}, a=-2\)
Problem 259
For the following functions \(f(x), \quad\) determine whether there is an asymptote at \(x=a\) . Justify your answer without graphing on a calculator. $$ f(x)=(x-1)^{-1 / 3}, a=1 $$
Problem 259
Determine whether there is an asymptote at \(x=a\). Justify your answer without graphing on a calculator. \(f(x)=(x-1)^{-1 / 3}, a=1\)
Problem 260
For the following functions \(f(x), \quad\) determine whether there is an asymptote at \(x=a\) . Justify your answer without graphing on a calculator. $$ f(x)=1+x^{-2 / 5}, a=1 $$
Problem 260
Determine whether there is an asymptote at \(x=a\). Justify your answer without graphing on a calculator. \(f(x)=1+x^{-2 / 5}, a=1\)
Problem 261
Evaluate the limit. \(\lim _{x \rightarrow \infty} \frac{1}{3 x+6}\)
