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Please help me solve the problem of given limit based question.

Please help me solve the problem of given limit based question. 

Question Image
Grade:12th pass

1 Answers

Aditya Gupta
2075 Points
one year ago
hello pushpa, i would request you to ask maths ques in the math section and not in zoology section.
now, the problem can be solved in two ways: 
(i) we see that numerator and denominator are of zero/zero form. so we can apply l hospital rule and differentiate wrt h.
we get lim h tends to 0 [cos(x+h)*1 – 0]/1
= lim h tends to 0 cos(x+h)
cosx
another method is to use the formula sina – sinb= 2sin(a – b)/2cos(a+b)/2
and then use the standard result lim y tends to 0 siny/y= 1.
kindly approve :)

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