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STEP III 2007 question 2 solution
From The Student RoomTSR Wiki > Study Help > Subjects and Revision > Mathematics > STEP > STEP III 2007 question 2 solution (i)
Every successive term is multiplied by two extra negative terms, one fraction from the exponent and one power of -4x, so every term stays positive overall, so all minus signs can be removed.
Using the formula just proved and noting that there is a divisor of
Verify that 2x is the first term by setting n = 1 and getting 2x. (ii) Differentiate both sides with respect to x:
Setting
(iii) This time integrate instead:
Set x =
Solution by Speleo. |
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