• anonymous
In this video http://ocw.mit.edu/resources/res-18-005-highlights-of-calculus-spring-2010/highlights_of_calculus/the-exponential-function/ prof. strang multiplies two equations (series) e^x = 1+x+1/2x^2+... and e^X = 1+X+1/2X^2+... to prove that the result equals e^(x+X). But when I multiply the two equations (e^x)x(e^X) using the distributive rule, I get the following result: (1+x+1/2x^2)x(1+X+1/2X^2) =(1+X+1/2X^2)+(x+xX+1/2xX^2)+(1/2x^2+1/2Xx^2+1/4x^2 X^2) which does not equal e^(x+X) = 1+(x+X)+(1/2x^2+xX+1/2X^2). I would be very grateful if someone could point out where I went wrong! Thanks
MIT 18.01 Single Variable Calculus (OCW)
• Stacey Warren - Expert brainly.com
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