Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Question

X-a x -a x-a X- a X- a Xa SC) If lim f(x) and lim g(x) exist then lim f(x)g(x) exists (D) If lim {f(x)g(x)} exists then both lim f(x) and lim g(x) exists x - a X-*a X-a DAY-2 (Algebraic Limits, Trigonome Subjective -e3x If lim x →0 - = Ink, (where keN), Find K - sin x sin - - Single type questions (x2 +1; x+0,2 )2 x=0 , (sinx, X#ni, nel and aly

Open in App

Solution

Verified by Toppr

Was this answer helpful?

0

Similar Questions

Q1

If $$ \displaystyle \lim _{x \rightarrow a}[f(x) g(x)] $$ exists, then both $$ \displaystyle \lim _{x \rightarrow a} f^{\prime}(x) $$ and $$ \displaystyle \lim _{x \rightarrow a} g(x) $$ exist.

View Solution

Q2

If $lim x \to a [f (x) + g (x)] = 10$ and $lim x \to a f (x) = 2$ , then find the value of $lim x \to a g (x)$ , provided that $lim x \to a f (x)$ and $lim x \to a g (x)$ exists ___

View Solution

Q3

$lim x \to a f (x)$ exists if and only if

1. $lim x \to a + f (x) a n d lim x \to a - f (x)$ exist finitely

2. $lim x \to a + f (x) = lim x \to a - f (x) = f (a)$

View Solution

Q4

Reason
$$\displaystyle \lim _{x \rightarrow 0} \dfrac{\sin x}{x} $$ exists and has value 1.
Assertion
If $$ \displaystyle \lim _{x \rightarrow 0}\left(f(x)+\dfrac{\sin x}{x}\right) $$ does not exist, then $$ \displaystyle \lim _{x \rightarrow 0} f(x) $$ does not exist.
If $$ \displaystyle \lim _{x \rightarrow 0}\left(f(x)+\dfrac{\sin x}{x}\right) $$ does not exist, then $$ \displaystyle \lim _{x \rightarrow 0} f(x) $$ does not exist.

View Solution

Q5

limx→a [f(x)+g(x)]=10 and limx→a f(x)=2. Then, limx→ag(x), if it exists, is

View Solution