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)]
limx→c[−2⋅f(x)]=−2⋅limx→cf(x)=−2⋅4=−8\displaystyle \lim_{\mathclap{x\to c}} {[-2\cdot f(x)]}= -2\cdot\lim_{\mathclap{x\to c}} { f(x)}=-2\cdot4=-8x→clim[−2⋅f(x)]=−2⋅x→climf(x)=−2⋅4=−8
limx→c[f(x)+g(x)]=limx→cf(x)+limx→cg(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+\frac14x→clim[f(x)+g(x)]=x→climf(x)+x→climg(x)=4+41 =174=\frac{17}{4}=417
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