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Question: Identify if f(x) = 4 - 2/x^6 is a polynomial and if yes state its degree

whats the exponent of 'x' ?

Not to mention, \(\sin(x)\) is not a polynomial either, even if it has a positive exponent.

its 6

why so parthkohli?

-6 so its not a polynomial I guess :X

What about the sin(x) ?

yeah, its not, neither sin x

f(x) = sin(x)

What if the f(x) is a polynomial?

sin(x) = x3-x if I am not mistaken, *confused*

x^3 **

hmm what sin(x) is equal to?

I am doing sin(x) and cos(x) atm they are pretty fresh into my mind :D

cos x = 1-x^2/2!+x^4/4!-x^6/6!+....infinite terms

wait wait what is the notation of "!" used for here?

n! is read as n factorial
and is defined as n*(n-1)*(n-2)*...3.2.1
example, 4! = 4*3*2*1

oohhh

thank very much I understand now <3 !

so you see, sin x and cos x have infinite terms, hence not a polynomial.
oh, Welcome ^_^