Can any one plz sovle this to me?

Question

Find the value of constant k so that 

f (x) = { sin 3x / x  x =0
              k              x=0


Will be continuous at x=0. 

Thanks for ur help in advance

isaak i · Accepted Answer

ok I got what do u want
.......{ (sin3x)/x --------->when x=/= 0
f(x)={ k ----------------------> when x=0
so u must get 
limit (sin3x)/x  = 3
x--->0


so k must be 3

Madhukar · Answer

I assume you mean 
f(x) = (sin 3x) / x, for x ≠ 0
f(x) = k, for x = 0.

For f to be continuous at 0, f(0) = lim (x-> 0) f(x)
=> k = lim (x -> 0) (sin 3x) / x
=> k = lim (x -> 0) [(sin 3x) / 3x] * 3
=> k = 3   
(because x -> 0 => 3x -> 0 and lim (3x -> 0) (sin 3x) / 3x = 1)

ClubbingSeals.com · Answer

42

namvt2000 · Answer

pls. make it clear.
Thanks

Can any one plz sovle this to me?

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