Flag Magical Mathematics[Interesting Approach]> Logarithm...
question mark

Log(2 + sin2x) (x4 + x2 + 1)esinx > 0
true or false?

Vikas TU , 13 Years ago
Grade 12th Pass
anser 1 Answers
Swapnil Saxena

Last Activity: 13 Years ago

For this situatiuon , It is always either greater than 0 or equal to 0 because

Log(2+sin(2x)) ==> the least value that the sin (2x) can take is (-1) which will make the function log(1)=0.So the least value of this function is 0. So Log(2+sin(2x)) will always take positive values

 

(x4+x2+1) ==> It is quite evident that (x4+x2+1)  can never take negative values because x4 and x2 always take positive values for all x

 

esin(x) ==> The least value that this function can take when sin(x) is -1 = (1/e) which is also a positive quantity.

So If all the individual functions always return positive quantities Then the function can neer take negative values so it must be >0

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...