NDA_Math_2025_Q103

Question:

What is lim{( )( )} x fx gx →0 equal to?

What is lim{( )( )} x fx gx →0 equal to?

Options:

  • a) -1
  • b) 0
  • c) 1
  • d) Limit does not exist
  • a) -1
  • b) 0
  • c) 1
  • d) Limit does not exist

correct answer : b)

Explanation:

lim () .( )
x
fx gx

{}
0
= lim () .( )
x
fx gx

{}
0
L.H.L = lim sin[ ]
h
hh


0
00
= lim sin[ ].
h
h


0
00

= 0
R.H.L = lim sin[ ]
h
hh

++
0
00
=

lim sin.
h
h
→0
0

= 0
\ lim () ()
x
fx gx

{}
0
= 0
Oswaal NDA/NA Year-wise Solved Papers

lim () .( )
x
fx gx

{}
0
= lim () .( )
x
fx gx

{}
0
L.H.L = lim sin[ ]
h
hh


0
00
= lim sin[ ].
h
h


0
00

= 0
R.H.L = lim sin[ ]
h
hh

++
0
00
=

lim sin.
h
h
→0
0

= 0
\ lim () ()
x
fx gx

{}
0
= 0
Oswaal NDA/NA Year-wise Solved Papers

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