# Limits – 1 MCQ’s

This set of MATLAB Multiple Choice Questions & Answers (MCQs) focuses on “Limits – 1″.

1. What is the output of the following code?

limit(x^2,x,1,’left’)

a) 1

b) 0

c) x should be declared symbolic

d) Cannot be determined

2. What is the error in the following code?

limit(x^2,y,1,'left')

a) The function

b) The symbolic argument

c) Left should’ve been without

d) No error

3. Can we check the continuity of a function in MATLAB?

a) Yes

b) No

c) Sometimes

d) Rarely

4. What is the output of the following code?

syms n;limit(n-1,n,Inf,’right’)

a) Inf

b) Nan

c) 0

d) Error

5. How can we check whether the lim_{n→3+} n-1 exists?

a) limit(n-1,n,3)

b) syms n;limit(n-1,n,3,’right’)

c) syms n;limit(n-1,3,’right’)

d) syms n;limit(n-1,3,n,’right’)

6. What is the output of the following code?

syms n;limit(n-1,n,nan,'left')

a) 0

b) Inf

c) Nan

d) Error

7. What is the output of the following code?

syms x;limit(((1-cos(x))/(x^2)),x,Inf)

a) Inf

b) 0

c) Nan

d) Error

8. What is the output of the following code?

syms x;limit(((1-cos(x))/(x^2)),x,0)

a) 0

b) ^{1}⁄_{2}

c) Error

d) Infinite

9. What is the output of the following code?

syms x;limit((((Inf*x)-cos(x))/(x^2)),x,0)

a) limit(Inf/x, x, 0)

b) Inf

c) Nan

d) Error

10. If a function is differentiable, the function is continuous.

a) True

b) False

11. What is the output of the following code?

limit(0/0, x, 0)

a) Nan

b) Inf

c) 0

d) Error

12. What is the output of the following code?

sym x;limit(log(x)^(log(x)),x,1)

a) Error

b) 1

c) 0

d) Cannot be defined

13. What is the code to solve lim_{x→1}(logx)^{logx}?

a) syms x;limit(‘log(x)^(log(x))’,x,1)

b) limit(‘log(x)^(log(x))’,x,1)

c) syms x;limit(log(x)^(log(x)),x,1)

d) Cannot be solved

14. What will be the output of the following code?

sym x;limit(‘log(x)^(log(x))’,1,’right’)

a) Error

b) 0

c) 1

d) Nan

15. What is the output in the following case?

syms x; limit(sin(x)/x)

a) 0

b) 1

c) Error

d) garbage value

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