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EXERCISE2:
Determine the convergence intervals of the following series similarities:
1.
2.
3.
4.
TAKE HOME
1. Use Maclaurin breakdown to solve limit in the following question:
a)
b)
c)
d)
e)
2. Velocity (v) of an electron from high energy accelerator close to the velocity of radiance c. If its potential difference is V, relativistic formula v/c stated by:
by V in the millions volt.
Use binomial series until the second term to get the form of in V. Then count the value of V:
a) V = 100 million volt
b) V = 500 million volt
c) V = 25.000 million volt
d) V = 100 Giga volt
3. The following picture shows an object having weigh W which is draped by a string with length l. The object is pulled with a force F. We want to know how big is the force (F) which is needed to keep the object balance in the distance yang x. From the Fundamental of Physics, we have known that :
T Cos = W and T Sin = F
a) Find F/W in the form of power series.
b) Find F/W in the form of power series x/l.
DO IT IN GROUP
T
Ex 3:
Determine conjugate and complex modulus of: 5i+4 ; F
W
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