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IJC H2Maths 2013 Promo Soln
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*: Not in topics tested for 2014 SRJC Promo
1* (i) Find the expansion of 21
(4 2 )x
x
+
+ in ascending powers of x, up to and including the
term in 2x . [3]
(ii) State the range of values of x for which this expansion is valid. [1]
(iii) Write down the equation of the tangent to the curve 21
(4 2 )xy
x
+= +
at the point where x = 0. [1]
1(i)
( )( )( )( )( )
2
12 2
122
22
2 2
2 2
2
1(4 2 )
1 4 2
1 1 12 2
1 31 1 2 21 1 ...2 2 2 2! 2
1 31 1 ...2 4 321 1 3 1
...
2 8 64 21 1 35
...
2 8 64
x
x
x x
xx
x xx
xx x
x x x
x x
+
+= + +
= + +
= + + + +
= + + +
= + + +
= + +
(ii) 1
2
1 12
2 2
x
x
x