Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Tests  >  GATE Computer Science Engineering(CSE) 2025 Mock Test Series  >  Test: Engineering Mathematics- 4 - Computer Science Engineering (CSE) MCQ

Test: Engineering Mathematics- 4 - Computer Science Engineering (CSE) MCQ


Test Description

10 Questions MCQ Test GATE Computer Science Engineering(CSE) 2025 Mock Test Series - Test: Engineering Mathematics- 4

Test: Engineering Mathematics- 4 for Computer Science Engineering (CSE) 2024 is part of GATE Computer Science Engineering(CSE) 2025 Mock Test Series preparation. The Test: Engineering Mathematics- 4 questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Engineering Mathematics- 4 MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Engineering Mathematics- 4 below.
Solutions of Test: Engineering Mathematics- 4 questions in English are available as part of our GATE Computer Science Engineering(CSE) 2025 Mock Test Series for Computer Science Engineering (CSE) & Test: Engineering Mathematics- 4 solutions in Hindi for GATE Computer Science Engineering(CSE) 2025 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free. Attempt Test: Engineering Mathematics- 4 | 10 questions in 30 minutes | Mock test for Computer Science Engineering (CSE) preparation | Free important questions MCQ to study GATE Computer Science Engineering(CSE) 2025 Mock Test Series for Computer Science Engineering (CSE) Exam | Download free PDF with solutions
Test: Engineering Mathematics- 4 - Question 1

Find 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 1



Since the limit from the left does not equal to the limit from the right. So limit does not exist.

Test: Engineering Mathematics- 4 - Question 2

If f(x) is continuous at x = 0 where

then what is the value of k?

Detailed Solution for Test: Engineering Mathematics- 4 - Question 2

Since given function is continuous at x = 0


Alternate method:

0/0 form using L Hospital’s

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Engineering Mathematics- 4 - Question 3

If f(x) is continuous at x = 0 where

then what is the value of k?

Detailed Solution for Test: Engineering Mathematics- 4 - Question 3

f(x) is continuous at x = 0


 

By definition of logarithm

k ≠ -4

∴ k = 4

Alternate method using L Hospital's

 

2logk = log (16)

2logk = 2log (4)

∴ k = 4

*Answer can only contain numeric values
Test: Engineering Mathematics- 4 - Question 4

The value of   will be ______


Detailed Solution for Test: Engineering Mathematics- 4 - Question 4


= 1

Test: Engineering Mathematics- 4 - Question 5

 

The value of 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 5

Test: Engineering Mathematics- 4 - Question 6

 

The value of 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 6


 

Applying L-Hospital Rule

Since the limit is of the form 0/0

Therefore, 

*Answer can only contain numeric values
Test: Engineering Mathematics- 4 - Question 7

If  Find ln p


Detailed Solution for Test: Engineering Mathematics- 4 - Question 7

Concept:

Test: Engineering Mathematics- 4 - Question 8

Find the value for 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 8


Alternate method: Using L Hospital’s

Test: Engineering Mathematics- 4 - Question 9

What is the value of f(x) = 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 9

Test: Engineering Mathematics- 4 - Question 10

 

Find the value of 

Detailed Solution for Test: Engineering Mathematics- 4 - Question 10



Substituting x = ∞

It is of the form 1

55 docs|215 tests
Information about Test: Engineering Mathematics- 4 Page
In this test you can find the Exam questions for Test: Engineering Mathematics- 4 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Engineering Mathematics- 4, EduRev gives you an ample number of Online tests for practice

Top Courses for Computer Science Engineering (CSE)

Download as PDF

Top Courses for Computer Science Engineering (CSE)