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```
Let a = min x2 + 4x + 5, x ? R and b = lim??0 1-cos 2? ?2 then find the value of a-b a+b .

```
6 years ago IIT Delhi
174 Points
```							a=1, b=21-2/1+2=-1/3Sher MohammdB.Tech, IIT Delhi
```
6 years ago
```							ans:a= min (x^2+ 4x +5)( using dy/dx= 0 at critical points)y= x^2+ 4x +5 ; dy/dx = 2x+4 = 0 so x = -2d2y/dx2= 2(-2) + 4 = 1 so minimum..so a = 1b = lim y --> 0 = (1- cos 2y)/ y2: 0/0 form so use DL hospi low..b= lim y-->0 = 2 sin2y / 2y ; lim y-->0 sin 2x/ 2x = 1soo b= 2a-b/ a+b = 1-2 / 1+2 = -1/3Thanks and Regards,Ajay verma,askIITians faculty,IIT HYDERABAD
```
6 years ago IIT Delhi
174 Points
```							1-2/1+2=-1/3Sher MohammdB.Tech, IIT Delhi
```
6 years ago
```							solution:a= min (x^2+ 4x +5)( using dy/dx= 0 at critical points)y= x^2+ 4x +5 ; dy/dx = 2x+4 = 0 so x = -2d2y/dx2= 2(-2) + 4 = 1 so minimum..so a = 1b = lim y --> 0 = (1- cos 2y)/ y2: 0/0 form so use DL hospi low..b= lim y-->0 = 2 sin2y / 2y ; lim y-->0 sin 2x/ 2x = 1soo b= 2a-b/ a+b = 1-2 / 1+2 = -1/3Thanks and Regards,Ajay verma,askIITians faculty,IIT HYDERABAD
```
6 years ago
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