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Please Explain the following Question …........................

Please Explain the following Question …........................

 

Question Image
Grade:11

1 Answers

Avinash
12 Points
3 years ago
I am not able to write the answer properly in this software. However, please try to understand.
sinx + cosx = \sqrt{2} sin(x + pi/4)
\lim_{x\rightarrow 5\pi /4} [\sqrt{2} sin(x + pi/4) ]  
Both LHL and RHL = – 2 ( because sin(x + pi/4) value will be -1 at 5pi/4, and muliplication by \sqrt{2} will make the value -\sqrt{2}. Greatest integer value for – \sqrt{2} will be -2.
Hence, answer has to be – 2.

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