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==tests solution== | ==tests solution== | ||
| + | 1) | ||
| + | a) | ||
| + | b) | ||
| + | 2)a) f(x) = int(o,sqrtx)of e^t^2 dt | ||
| + | chain rule | ||
| + | where u = squrt x | ||
| + | using funamental therem of calc | ||
| + | f(u)= int(0,u) of e^t^2 dt | ||
| + | = e^u^2(1/2*x^(-1/2)) | ||
| + | = (e^x)/(2sqrt(x)) | ||
| + | |||
| + | lim of x as x goes to inf x/f(x)= | ||
| + | lim of x as x goes to inf 1/f'(x)= | ||
| + | lim of x as x goes to inf 1/(e^x/(2sqrt(x))= | ||
| + | lim of x as x goes to inf (2sqrt(x))/(e^x)= | ||
| + | lim of x as x goes to inf 1/(sqrt(x)e^x)= | ||
| + | 0 | ||
| + | 3) | ||
| + | |||
| + | 4) | ||
Revision as of 08:00, 25 September 2008
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tests solution
1)
a)
b)
2)a) f(x) = int(o,sqrtx)of e^t^2 dt
chain rule
where u = squrt x
using funamental therem of calc
f(u)= int(0,u) of e^t^2 dt
= e^u^2(1/2*x^(-1/2))
= (e^x)/(2sqrt(x))
lim of x as x goes to inf x/f(x)=
lim of x as x goes to inf 1/f'(x)=
lim of x as x goes to inf 1/(e^x/(2sqrt(x))=
lim of x as x goes to inf (2sqrt(x))/(e^x)=
lim of x as x goes to inf 1/(sqrt(x)e^x)=
0
3)
4)
