Show that the function e2z 1 if z +0 f(2) = 2 at z = 0 is entire, by representing it as the sum of a power series. Then, compute 1 dz, 1 e2z where +y is parametrized by z(t) = e et, t e [0, 27] and ɛ is so small that z = 0 is the only solution of e2z = 1 in the disc |2| < ɛ.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
How do I show this?
![Show that the function
e2z – 1
if z +0
f(2) :
2
at z = 0
is entire, by representing it as the sum of a power series. Then, compute
1
dz,
1
e2z
|
where +y is parametrized by z(t) = ɛ et, t E [0, 27] and ɛ is so small that z = 0 is the only
solution of e2 = 1 in the disc |z| < ɛ.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe15ed467-90ec-4e60-afef-3d3f6119f74d%2F4a467882-621f-405e-82a6-ab1567ceca10%2Fayg6dt_processed.png&w=3840&q=75)
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