Question

sin x
x →0 x
Lim
Q.13
equals-
(A) 1
(C)-1
(B) O
(D) Does not exist​

Answer 1

Answer:

1

Step-by-step explanation:

• limx-> 0 Sinx /|x|
• limx-> 0 sinx/|x| × x/x multiplying by x in numerator and denonenator

limx-> 0 sinx/x × x/|x|

∵we know limx-> 0 sinx /x = 1

• ∴ limx ->0 x/|x| =1

• Lim x-> 0 = sinx /|x| = 1 Answer

Answer 2

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GIVEN:-

• limx-> O Sinx /lxl

SOLUTION:-

• limx-> O sinx/lxl xx/x multiplying by x in numerator and denonenator

limx-> O sinx/x x x/lxl

. we know limx-> 0 sinx /x = 1

... limx ->0 x/lxl =1

Lim x-> 0= sinx /lxl = 1 Answer

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