# Limits Problems & Solutions

## Collection by Math Doubts • Last updated 11 weeks ago

### Find lim x → π/4 sinx-cosx/x-π/4

Learn how to calculate the limit of the quotient of sinx-cosx by x-π/4 as x approaches to π/4

### Evaluate lim x → 0 (xtan2x-2xtanx)/(1-cos2x)²

Learn how to find the limit of the trigonometric function the quotient of subtraction of two times the product of x and tanx from the product of x and tan2x by the square of subtraction of cos2x function from 1 as x approaches 0 in calculus mathematics.

### Evaluate lim x → 1 (∛x+∜x+x^(1/5)-3)/(x-1)

Learn how to solve the limit of algebraic function (∛x+∜x+x^(1/5)-3)/(x-1) as x approaches 1 in limits calculus mathematics

### Find lim x → 1 (x²-3x+2)/(x²-5x+4)

Learn how to find the limit of algebraic function (x²-3x+2)/(x²-5x+4) as x approaches 1 in calculus for those who want to study direct substitution and factoring methods in calculus.

### Evaluate lim x → 0 ((2^x)-1)/(√(1+x)-1)

Learn how to find limit of exponential algebraic function ((2^x)-1)/(√(1+x)-1) as x approaches zero in calculus mathematics

### Evaluate lim x → a ((x+2)^5/3 - (a+2)^5/3)/(x-a)

Learn how to find limit of algebraic function ((x+2)^5/3 - (a+2)^5/3)/(x-a) as x approaches a in calculus.

### Evaluate lim x → 0 (x-sin(x))/x³

Limit problem to Evaluate the limit of (x-sin(x))/x³ as x approaches 0 in Limits Calculus Mathematics

### Evaluate lim x → π (x-π)/sin(x)

Trigonometry Limits problems with solution to Evaluate the limits of (x-π)/sin(x) as x approaches π in Calculus Mathematics Problem

### Evaluate lim x → 1 (x^x-1)/(xln(x))

Learn how to evaluate limit of quotient of subtraction of 1 from x power of x by the x times natural logarithm of x as x approaches 1 in calculus.

### Evaluate lim x → 0 [(5x²+1)/(3x²+1)]^(1/x²)

Learn how to Evaluate Limit of Exponential function [(5x²+1)/(3x²+1)]^(1/x²) as x approaches 0 in Limits Calculus Mathematics Problem

### Find lim x → a (x√x-a√a)/(x-a)

Learn how to Find Limit of Algebraic function (x√x-a√a)/(x-a) as x approaches a in Limits Calculus Mathematics

### Evaluate lim x → e (lnx-1)/(x-e)

Learn how to evaluate Evaluate lim x → e (lnx-1)/(x-e) in Limits Calculus Mathematics

### Evaluate lim x → 0 sin(πcos²x)/x²

Limits Problem to find Limit of sin of angle pi times cos squared x by x squared as x approaches 0 in Calculus Mathematics

### Evaluate lim x→0 (sin2x+3x)/(4x+sin6x)

Find the Limit of trigonometric function (sin2x+3x)/(4x+sin6x) as x approaches 0 in Calculus Mathematics Problem

### Evaluate lim x→tan^{-1}(3) (tan²x-2tanx-3)/(tan²x-4tanx+3)

Limits Math Problem to solve lim x→tan^{-1}(3) (tan²x-2tanx-3)/(tan²x-4tanx+3) in Calculus Mathematics

### Evaluate lim x→∞ √(x²+x+1)-√(x²+1)

Limit Math Problem to find the Limit of √(x²+x+1)-√(x²+1) as x approaches infinity in Calculus Mathematics