Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 28

EASY

NDA & NA EE

IMPORTANT

Earn 100

What is the value of $\lim_{x \to 0} \frac{1 - \sqrt{1 + x}}{x} ?$

50% studentsanswered this correctly

Important Questions on Limits

MEDIUM

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 29

Which is

\lim_{x \to 0} \frac{\sin x - \tan x}{x}

equal to?

MEDIUM

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 30

If

f (9) = 9

and

f^{'} (9) = 4

, then what is

\lim_{x \to 9} \frac{\sqrt{f (x)} - 3}{\sqrt{x} - 3}

equal to?

MEDIUM

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 31

What is

\lim_{x \to 0} \frac{5^{x} - 1}{x}

equal to?

EASY

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 32

What is

\lim_{n \to \infty} \frac{1 + 2 + 3 + \dots + n}{1^{2} + 2^{2} + 3^{2} + \dots + n^{2}}

equal to?

EASY

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 33

If

f (x) = \sqrt{25 - x^{2}},

then what is

\lim_{x \to 1} \frac{f (x) - f (1)}{x - 1}

equal to?

MEDIUM

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 34

If

f (x) = \frac{\sin (e^{x - 2} - 1)}{\ln (x - 1)}

, then

\lim_{x \to 2} f (x)

is equal to

EASY

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 21 - Limits>Exercise 1>Q 35

If

\lim_{x \to \frac{π}{2}} \frac{\sin x}{x} = l

and

\lim_{x \to \infty} \frac{\cos x}{x} = m

, then which one of the following is correct

?