Find a value for the constant k so that
f(x)= { sin(3x)/x x<0
{ x+k x>0
will be continuous at x=0.
Continuous Function?
2016-03-25 2:34 pm
回答 (2)
2016-03-25 3:49 pm
✔ 最佳答案
sin (3x) / x = 3 sin (3x) / (3x) ---> 3 as x-->0So, you want x+k = 3 as x--->0. Thus, k = 3
2016-03-25 2:49 pm
The curve below 0 is sin(3x)/x.
The curve above 0 is x + k
To be continuous at x =0, you want those curves to touch. You want the limits to be the same. Take the limits. Set them equal. Solve for k.
The curve above 0 is x + k
To be continuous at x =0, you want those curves to touch. You want the limits to be the same. Take the limits. Set them equal. Solve for k.
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