User:Egm6341.s11.team5.raghunathan

Solution
'''We solved this problem on our own. '''

The definition of the infinity norm is as follows: $$\left \| f(x) \right \|_{\infty }\ = max \left| f(x) \right|$$. Similarly, $$\left \| g(x) \right \|_{\infty }\ = max \left| g(x) \right|$$. Also, by definition: $$\left \| f - g\right \|_{\infty }\ = max\left| f(x) - g(x)\right| $$. 1. In the interval of $$ [0,1]$$, the norms are as follows: $$\left \| 3x + 5x^3 \right \|_{\infty }\ = 8$$ $$\left \| sinh x \right \|_{\infty }\ = 1.1752$$ $$\left \| f - g\right \|_{\infty }\ = 6.8248$$