The value of limx→0{Sin2(π2−ax)}sec2π2−bx is equal to
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a
e−a/b
b
e−a2/b2
c
a2a/b
d
e4a/b
answer is B.
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Detailed Solution
Given limit is of the form 1∞∴ Given limit =elimx→0 sec2(π2−bx)(sin2(π2−ax)−1) =elimx→0-cos2(π2−ax)cos2(π2−bx) Use L-Hospital rule =elimx→0-sin(2π2−ax)sin(2π2−bx).ab Again use L-Hospital rule = =e−a2b2