Find the limit of {(1+4x)^(1/2) – (1-3x)^(1/2)} /x as x tends to 0

Find the limit of {(1+4x)^(1/2) – (1-3x)^(1/2)} /x      as x tends to 0


1 Answers

Arush Acharya
34 Points
6 years ago
Rationalise it by multiplying :  √(1+4x) + √(1-3x) in numerator and denominator
Then this problem will become easy , cancel out x from numerator and denominator and then expression will be 7/(√1+4x)+√(1-3x) . now put the value of x as 0 and u will get 7/2 as ur answer 

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