Math 113 (Assignments)

# Homework on 30 January 2016:

To be turned in on Monday:
1. For what values of $k$ is $$f(x) = \cases{x^2+2kx+k^2& \text{for x<-1}\\[3px] 4k-x& \text{for x\ge -1}\cr}$$ continuous at $x=-1$?

Fully justify your answer (for instance, you might want to show that, for your value(s) of $k$, $f$ statisfies the definition of continuity at $x=-1$. Make sure you give reasons for all of your claims.)

2. Compute the derivatives of the following function: $f(x) = (x^2-3x)e^{-x^2}$

 Math 113 (Fall 2016) web pages Created: 30 Sep 2016 Last modified: Sep 30, 2016 1:06:05 PM Comments to: dpvc@union.edu