It Might Not Exist

Calculus Level 2

f(x)={3x1, if x12x+3, if x<1,g(x)={3x,     if x<22x3, if x2 f(x) = \begin{cases} 3x-1 , \quad \text{ if } x\geq1 \\ 2x+3, \quad \text{ if } x<1 \end{cases}, \quad \quad g(x) = \begin{cases} 3-x ,\; \; \quad \text{ if } x<2 \\ 2x-3, \quad \text{ if } x\geq2 \end{cases}

Consider the two piecewise functions as shown above. Compute limx2f(g(x)) \displaystyle \lim_{x\to2} f(g(x)) .

Submit -1000 as your answer if you think that the limit fails to exist.

×

Problem Loading...

Note Loading...

Set Loading...