Question
Evaluate lim₍ₓ→0₎ ( √(1 + 2x) − √(1 −
3x) ) / xSolution
Multiply by conjugate: = [(√(1 + 2x) − √(1 − 3x)) × (√(1 + 2x) + √(1 − 3x))] / [x(√(1 + 2x) + √(1 − 3x))] = [(1 + 2x) − (1 − 3x)] / [x(√(1 + 2x) + √(1 − 3x))] = [5x] / [x(√(1 + 2x) + √(1 − 3x))] = 5 / [√(1 + 2x) + √(1 − 3x)] Now put x = 0 → denominator = 1 + 1 = 2 Answer: 5 / 2
If I had played well, I would have won the match.
Find the correct substitute for Bold part.
In spite of a steep hike in the prices of crude oil, the government did not rise the price of fuel...
choose the option which represents a pair of either synonyms or antonyms.
- Select the most appropriate synonym of the given word.
Frigid In the following question select the answer pair that expresses a relationship most similar to that expressed in the capitalised pair.
SKEPTICI...
elude
Dutch
1) The movie was
2) all ready half
3) way when we
4) reached the theatre.
5) No error
Select the most appropriate meaning of the given word
Noble
A situation when no progress is possible
