(1+x^2)(1+x^4)(1+x^8)...(goes on forever) |x|< 1 all i am told to do is simplify and i really have no idea where to start on this. please help.
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nm, below
Hello, oblixps! Simplify: . We have: . Multiply both sides by . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The right side is of the form: . Since , then: . Our equation becomes: .
Let's be brave: see the pattern? which is the infinite series representation of the known function:
oh wow thanks!! i was kinda weirded out by the going on forever part that i didn't even think about multiplying the first few terms together. this problem makes complete sense now! thanks a bunch guys!
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