let f(x)= 1-cos4x÷x²,x<0
a. ,x=0
\sqrt{x}÷ \sqrt{16+ \sqrt{x}}-4,x>0
determine the value of 'a' if f(x) is continuous.
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1
Answer:
answer is 8
Explanation:
since the function is continues at x=0
lim f(x) = lim f(x)=f(a)
lim f(x)= lim 1-cos 4x/x²
=lim (2sin² 2x/(2x)²). 4 = 8
lim f(x)= lim
= lim =8
also f(0) = 8
Hence ,a =8
Hope It's Helpful
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