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Limits

Limits

Assessment

Presentation

•

Mathematics

•

University

•

Hard

•
CCSS
HSF.IF.B.4, HSA.REI.D.10, HSF.IF.C.7

Standards-aligned

Created by

Shankar Gyawali

Used 5+ times

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1 Slide • 19 Questions

1

MCQs BCA II Semester
Topic: Limits

By Shankar Gyawali

2

Multiple Choice

Which of the following is not an indeterminate form?

1

1∞ 1^{\infty\ }

2

∞−∞ \infty-\infty\

3

∞+∞ \infty+\infty\

4

00\frac{0}{0}

3

Multiple Choice

lim⁡x→a   xn−anx−ais equal to\lim_{x\rightarrow a\ }\ \frac{\ x^n-a^n}{x-a}is\ equal\ to

1

nan−1na^{n-1}

2

nan+1na^{n+1}

3

n2an−1n^2a^{n-1}

4

an−1a^{n-1}

4

Multiple Choice

lim⁡x→∞   3x2 +4x−14x2+5 is equal to\lim_{x\rightarrow\infty\ }\ \frac{\ 3x^{2\ }+4x-1}{4x^2+5}\ is\ equal\ to

1

14\frac{1}{4}

2

34\frac{3}{4}

3

 53\frac{\ 5}{3}

4

43\frac{4}{3}

5

Multiple Choice

lim⁡t→1 4t−9 is equal to\lim_{t\rightarrow1}\ \frac{4}{t-9}\ is\ equal\ to

1

22

2

−2-2

3

12\frac{1}{2}

4

−12-\frac{1}{2}

6

Multiple Choice

lim⁡x→0log⁡e(1+x)3x is\lim_{x\rightarrow0}\frac{\log_e\left(1+x\right)}{3x}\ is

1

13\frac{1}{3}

2

00

3

∞ \infty\

4

33

7

Multiple Choice

lim⁡x→0 sin⁡x°   x is equal to\lim_{x\rightarrow0}\ \frac{\sin x\degree\ \ \ }{x}\ is\ equal\ to

1

11

2

π180\frac{\pi}{180}

3

180π \frac{180}{\pi\ }

4

00

8

Multiple Choice

lim⁡x→0 sin⁡(1x)\lim_{x\rightarrow0}\ \sin\left(\frac{1}{x}\right)

1

00

2

∞\infty

3

11

4

does not existdoes\ not\ exist

9

Multiple Choice

lim⁡x→0cos⁡ x\lim_{x\rightarrow0}\cos\ x  

1

0

2

1

3

-1

4

DNE

10

Multiple Choice

lim⁡x→0 cos⁡xx\lim_{x\rightarrow0}\ \frac{\cos x}{x}  

1

0

2

1

3

-1

4

DNE

11

Multiple Choice

lim⁡x→0 tan⁡xx\lim_{x\rightarrow0}\ \frac{\tan x}{x}  

1

0

2

1

3

-1

4

DNE

12

Multiple Choice

lim⁡x→∞ sin⁡xx\lim_{x\rightarrow\infty}\ \frac{\sin x}{x}  

1

0

2

1

3

-1

4

DNE

13

Fill in the Blanks

Find lim⁡θ→0 θsin⁡θ\lim_{\theta\rightarrow0}\ \frac{\theta}{\sin\theta}  

14

Multiple Choice

lim⁡x→ − ∞ 10x\lim_{x\rightarrow\ -\ \infty}\ 10^x  

1

00  

2

∞\infty  

3

− ∞-\ \infty  

4

DNEDNE

15

Fill in the Blanks

EXPONENTIAL FUNCTIONS

y=exy=e^x  and  y=10xy=10^x  

both pass through point (a,b)\left(a,b\right)  

Submit  a,ba,b  

16

Multiple Choice

Question image
Find the limit of the function as x approaches 4 from the right.
1
-1
2
2
3
-2
4
DNE

17

Multiple Choice

Question image
What is the limit of the function as x approaches 1 from the left?
1
DNE
2
1
3
4
4
-2

18

Multiple Choice

Question image
Find the limit of the function as x approaches 2+.
1
1
2
-1
3
5
4
DNE

19

Multiple Choice

Question image

lim⁡x→4− f(x) is equal to\lim_{x\rightarrow4}-\ f(x)\ is\ equal\ to

1

3

2

−4

3

∞

4

dne

20

Multiple Choice

Question image

From the figure alongside what is the value of lim⁡x→2 f(x)\lim_{x\rightarrow2}\ f\left(x\right)

1

0

2

∞

3

- ∞

4

does not exist

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MCQs BCA II Semester
Topic: Limits

By Shankar Gyawali

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