Question

sin 5. (10 marks) Check whether f(x) = if x = 0 if x=0 is differentiable at x=0. Prove it using an 8 - 8 proof

Answer 1

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2. Sinx-xl 1x²1 I sinxl tlxl 1x2) la-b/2191 tbal 1+1x/ f 1 Sinx + 1x1 { : ( Six/ 21Z (x16 U Its = E 8? & &.5² – 5-1=0 1+11+4E = 5 2 E it Eso we take It Jitue २६ > lim 01x) = Sinx-x LE & XE/2/28 xto x2 lim Q(x) = 0 exist x70 2 sit fix) = f sinx ㅗ x=0 is differenticable at ano Ang