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Number of roots of the function $f(x)=\frac{1}{(x+1)^3}-3x+\sin x$ is |
0 1 2 more than 2 |
2 |
Hence f (x) is always decreasing, also as x→∞, f (x)→−∞ and as x→−∞, f (x)→+∞ graph is as shown
as graph cuts x-axis at two distinct points two roots exist. $=\frac{-3}{(x+1)}-3\cos x>0$ |
