# Let f(x) = {e^x, x < 0 {x+a, x ≥ 0, is continuous in (−∞, +∞), find a?

##### 1 Answer

Jun 23, 2018

See explanation.

#### Explanation:

The function is:

#f(x)={(e^x;x<0),(x+a;x>=0):}#

For every

To make it continuous for all

#lim_{x->0^-}e^x=lim_{x->0^+}(x+a)#

The limit on the left side is

Answer: **The function is contnuous for all #x in RR# if #a=1#**