Home
Class 14
MATHS
verify the statement true or false.If ...

verify the statement true or false.If ` underset(x to a) lim [f(x) g(x)]` exists, then both ` underset( x to a) lim f(x) and underset( x to a ) lim g (x) ` exist.

A

Only 1

B

Only 2

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |43 Videos
  • INVERSE TRIGONOMETRIC FUNCTION

    PUNEET DOGRA|Exercise PREV YEAR QUESTION|35 Videos
  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If underset(x to a)("lim")(f(x)-f(a))/(x-a) exists, then

verify the statement true or false.If lim_( x to a ) [f(x) g(x)] exists, then both lim_( x to a ) f(x) and lim_( x to a ) g (x) exist.

underset(x to 0)(lim) (1-cos x)/(x) is :

Evaluate underset(x to oo) lim ([x])/(2x)

underset(x to oo)lim (cos""2/x)^(x^2)=

underset(x to 0)lim x log sin x is equal to

Find underset(x to oo)lim (1+1/x^2)^x

If f(0)=0" and "underset(xto0)("lim")(f(x))/(x) exists then this limits is equl to

Value of the underset(x to -2)lim (tan pi x)/(x+2)+underset(x to oo)lim (1+1/x^(2))^(x) is

If lim_(x rarr a)[f(x)g(x)] exists,then both lim_(x rarr a)f(x) and lim_(x rarr a)g(x) exist.