Name: Limits Worksheet With Worked Solutions
Brand: Superprof
SKU: SP-RB-00011830
Rating: 4 (2 reviews)

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One-Sided Limit

Left side limit or left hand limit

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Right side limit or right hand limit

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Infinite Limit

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Limits at Infinity

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Limit of a Constant

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Limit of a Sum

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Limit of a Multiplication

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Limit of a Division

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Limit of a Power

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Limit of a Function

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g can be a root, a log, sin, cos, tan, etc.

Limit of a Root

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Limit of a Logarithm

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L'Hôpital's Rule

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Deepak Singh Brar

June 2026

what will be sign of -infinity is to power infinity plus or minus

Vanessa - Editorial Manager Superprof UK

July 2026

The sign **cannot be determined**.

For a negative base:

* **Even exponent** → **positive**
* **Odd exponent** → **negative**

So as the exponent tends to infinity, the sign depends on whether the exponent is even or odd. Therefore, ((-\infty)^\infty) has **no definite sign**—it can be **positive or negative**.

Limit Formulas

One-Sided Limit

Left side limit or left hand limit

Right side limit or right hand limit

Infinite Limit

Limits at Infinity

Limit of a Constant

Limit of a Sum

Limit of a Multiplication

Limit of a Division

Limit of a Power

Limit of a Function

Limit of a Root

Limit of a Logarithm

L'Hôpital's Rule

Theory

Calculating Limits

Continuity

Continuity on a Closed Interval

Essential Discontinuity

One-Sided Limit

Bolzano’s Theorem

Limits at Infinity

Infinite Limit

Limit of a Logarithmic Function

Removable Discontinuity

Limit of an Exponential Function

Limit Rules

The Properties of Infinity in Calculus

One to the Power of Infinity

Limits and Dividing by Zero: Theory and Examples

Understanding All the Indeterminate Forms

Zero Over Zero: Indeterminate Forms and L’Hôpital’s Rule

What Is Zero Times Infinity? Theory and Practice Problems

Infinity Minus Infinity: Worked Examples and Solutions

Extreme Value Theorem in Calculus

Intermediate Value Theorem: Theory and Worked Examples

Discontinuous Function Graph Examples And Problems

What is a Continuous Function?

Jump Discontinuity Example Questions With Full Solutions

Formulas

Continuity Formulas

Limit Formulas

Exercises

Limit Problems

Intermediate Value Theorem Problems

Continuity Worksheet

Continuity Practice Problems for A Level Maths

Limits Worksheet With Worked Solutions

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