Question #323247

Given Lim f(x)=4 and lim g(x)=1/4,



x-›c. x->c



Evaluate the following limits



1.) Lim [-2*f(x)]



x->c



3.) Lim [f(x) +g(x)]



x->c




1
Expert's answer
2022-04-05T02:17:53-0400

limxc[2f(x)]=2limxcf(x)=24=8\displaystyle \lim_{\mathclap{x\to c}} {[-2\cdot f(x)]}= -2\cdot\lim_{\mathclap{x\to c}} { f(x)}=-2\cdot4=-8

limxc[f(x)+g(x)]=limxcf(x)+limxcg(x)=4+14\displaystyle\lim_{\mathclap{x\to c}} {[f(x)+g(x)]} =\displaystyle\lim_{\mathclap{x\to c}} {f(x)}+\lim_{\mathclap{x\to c}} {g(x)} =4+\frac14 =174=\frac{17}{4}


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