Tip:A–D to answerE for explanationV for videoS to reveal answer
How can I solve limit xsin(sinx) as x approaches to 0?
- A.
0
- B.
1
(Correct Answer) - C.
2
- D.
3
Explanation
Solution
Hume pata hai ki limθ→0θsinθ=1. Is sawal ko isi form mein lane ke liye:
Ise (sinx) se multiply aur divide karein:
x→0lim(sinxsin(sinx)×xsinx)
Dono hisson ki limit 1 hai:
x→0limsinxsin(sinx)=1andx→0limxsinx=1
Correct Option: (b) 1
Explanation
Solution
Hume pata hai ki limθ→0θsinθ=1. Is sawal ko isi form mein lane ke liye:
Ise (sinx) se multiply aur divide karein:
x→0lim(sinxsin(sinx)×xsinx)
Dono hisson ki limit 1 hai:
x→0limsinxsin(sinx)=1andx→0limxsinx=1
Correct Option: (b) 1
