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Pietervv

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My homework question is about the first law of blackbody radiation. I have to prove an expansion when

for KT≫ℏw.

After some rewriting of the formula i have (e

because KT≫ℏw

According Wolfram Alpha the series expansion is [PLAIN]http://www5b.wolframalpha.com/Calculate/MSP/MSP32441h2h6354114hd8ba00002hih32dh1h5ch337?MSPStoreType=image/gif&s=14&w=174.&h=59. and this is exactly what i have to prove. But i have no idea how to come here. I tried to use all my knowledge but i don't even come close to the expansion that it should be...

So my question is: what are the steps from

for KT≫ℏw.

After some rewriting of the formula i have (e

^{x}-1)^{-1}because KT≫ℏw

**,**x is close to zero, so i think i should use the maclaurin series.According Wolfram Alpha the series expansion is [PLAIN]http://www5b.wolframalpha.com/Calculate/MSP/MSP32441h2h6354114hd8ba00002hih32dh1h5ch337?MSPStoreType=image/gif&s=14&w=174.&h=59. and this is exactly what i have to prove. But i have no idea how to come here. I tried to use all my knowledge but i don't even come close to the expansion that it should be...

So my question is: what are the steps from

**(e**[PLAIN]http://www5b.wolframalpha.com/Calculate/MSP/MSP32441h2h6354114hd8ba00002hih32dh1h5ch337?MSPStoreType=image/gif&s=14&w=174.&h=59.^{x}-1)^{-1}to
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