Hi, I want to write code to transform the mathematical expression of:

y=sum from k=0 to k=infinite of x^k/k!

where x and y are long real var.

I try to write the code such this:

function taylor(k)

k = (0:Inf)

x = long(x)

y = long(y)

if n == 0

end

if n>0

for i in 1:n

f = k*i

y= x^k/f

end

@show x

@show y

end

end

(k)=taylor(3)

or:

function taylor(x)

u=0

v=1

k=0

a=1

while ((v-u)/u)>=(1/10^10)

u=u+((x^k)/factorial(big(k)))

k=k+1

v=v+((x^a)/factorial(big(a)))

a=a+1

end

return u

end

(u,v)=taylor(6)

@show u,v

both didn’t work. I am new to Julia and have no experience in coding before. How to represent series of numbers from 1 to infinite to the x function, let say x= int64. And also how to write proper function e.g function taylor(k). What variable should I put inside taylor( ).

Thank you!!!