Answer to Question #323247 in Calculus for Elise

Question

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

Answer 1

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

$\displaystyle\lim_{\mathclap{x\to c}} {[f(x)+g(x)]} =\displaystyle\lim_{\mathclap{x\to c}} {f(x)}+\lim_{\mathclap{x\to c}} {g(x)} =4+\frac14$ $=\frac{17}{4}$