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

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

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## 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

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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

## GATE Computer Science Engineering(CSE) 2025 Mock Test Series

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## GATE Computer Science Engineering(CSE) 2025 Mock Test Series

55 docs|215 tests