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Determine the Following Limits, If They Exist limx4x(x+4)2\lim _{x \rightarrow 4} x(x+4)^{2}

question 36

Essay

Determine the following limits, if they exist.
(a) limx4x(x+4)2\lim _{x \rightarrow 4} x(x+4)^{2}
(b) limx1x2+3x4x26x+5\lim _{x \rightarrow 1} \frac{x^{2}+3 x-4}{x^{2}-6 x+5}
(c) limx6x+2\lim _{x \rightarrow-\infty} 6 x+2
(d) limx0sin5xx\lim _{x \rightarrow 0} \frac{\sin 5 x}{x}
(e) limx4x4x2+2\lim _{x \rightarrow 4} \frac{x-4}{x^{2}+2}
(f) limx02x2\lim _{x \rightarrow 0} \frac{2}{x^{2}}


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