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`        If f(x) =(1+|sinx|) ^(a÷|sinx|)   , -π÷6           =b                                     , x=0           =e^(tan2x÷tan3x)         , 0Find a and b so that the function is continuous at x=0`
one year ago

1818 Points
```							RHL= e^(2/3) coz tan2x/tan3x can be written as tan2x/2x*3x/tan3x*2/3 and lim y tends to zero tany/y=1So b=e^(2/3)For LHL, put |sinx|= zThen we have (1+z)^a/z= e^aSo a=2/3
```
one year ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions