NDA Government Jobs Exams

What is

lim (sin x- tan x)/x
equal to

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NDA Other Question

Consider the following statements:
1.
x 0
lim
→
sin
x
1 does not exist.
2.
x 0
lim
→
x sin
x
1 exists.
Which of the above statements is/are correct ?
(a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2 If y = sin (ax + b), then what is d^2y/dx^2 at x = –b/a, where a, b are constants and a ≠ 0 ?